Algebra Calculators

Difference of Cubes

The Difference of Cubes calculator helps you quickly find the result of subtracting one cube from another using the identity formula. This tool is useful for students, teachers, and anyone solving algebraic expressions involving cube terms. Simply enter two numbers A and B to calculate A^3 - B^3.

Fourth Root

This Fourth Root Calculator helps you find the number that, when raised to the fourth power, equals the input value. It’s useful for students, engineers, and anyone working with powers and roots. Just enter a number to instantly calculate its fourth root.

Relative Percentage Difference

Use this Relative Percentage Difference Calculator to measure the variation between two values in percentage terms. It is helpful for comparing experimental vs theoretical values, evaluating financial changes, or analyzing measurement accuracy. Just input the two numbers and get the result instantly.

Cubic Equation

This cubic equation solver helps you find the roots of any third-degree polynomial of the form ax³ + bx² + cx + d = 0. Whether the equation has real or complex roots, the tool uses Cardano’s method to calculate accurate solutions instantly. It’s perfect for students, teachers, and professionals who need to solve cubic equations quickly and reliably.

Quadratic Equation

This calculator helps you quickly and accurately solve any quadratic equation of the form ax² + bx + c = 0. Ideal for students, teachers, and professionals, it uses the quadratic formula to find real or complex roots based on the discriminant.

Cubic Root

The Cubic Root Estimator helps you quickly approximate the cube root of any real number. It’s especially useful for students, engineers, and developers working with volume-based calculations or third-degree equations. Just input a number, and the estimator returns its cube root with speed and accuracy.

Leibniz Harmonic Triangle

This calculator generates values from the Leibniz Harmonic Triangle, a triangular array similar to Pascal’s Triangle, where each term is calculated using the formula aₙ,ₖ = 1 / k × C(n, k). It is useful in combinatorics and series expansions, especially involving harmonic numbers and integrals.

Proportion

This proportion calculator helps you find a missing value in a proportion of the form A/B = C/D. It’s useful for solving mathematical problems involving ratios, scaling, or cross-multiplication. Just input three known values, and the calculator will compute the fourth.

Eccentricity of an Ellipse

This calculator helps you determine the eccentricity (E) of an ellipse based on the values of its semi-major axis (a) and semi-minor axis (b). It’s useful in geometry, astronomy, and physics where ellipses describe orbits or shapes. Simply input the values, and the tool will compute how “elongated” the ellipse is.

Modulus of Complex Number

Use this calculator to quickly find the modulus (or absolute value) of any complex number in the form a + bi. It helps students, engineers, and mathematicians determine the magnitude of complex numbers for analysis, graphing, and calculations involving polar form. Just enter the real and imaginary parts and get the result instantly.

Complex Number

The Complex Number Calculator is a helpful tool for performing operations with complex numbers, such as addition, subtraction, multiplication, and division. It’s ideal for students, engineers, and anyone working with imaginary numbers in mathematics or physics. Just input the real and imaginary parts to instantly get the result of your selected operation.

Complex Number to Polar Form

This calculator converts a complex number from rectangular form (a + bi) into polar form (r∠θ or r(cos θ + i sin θ)). It’s useful for students, engineers, and anyone working with complex numbers in electrical engineering or mathematics. Simply enter the real and imaginary parts, and the calculator returns the magnitude and angle in degrees and radians.

Floyd’s Triangle Sum

Use this calculator to find the sum of numbers in the n-th row of Floyd’s Triangle. It’s especially useful for math students and educators exploring number patterns. Just enter the row number and get the total instantly!

Linear Inequality

This linear inequality calculator helps you solve, simplify, and understand inequalities involving addition, subtraction, multiplication, or division. Ideal for students, teachers, and anyone studying algebra, it shows step-by-step solutions while also explaining how inequality rules change based on the operations and values involved.

Team Work Time

This calculator helps you find the total time required to complete a task when two team members work together. Ideal for project managers, engineers, students, and anyone coordinating shared tasks. Simply input the individual times each person would take to complete the task alone, and the calculator shows the combined work time.

Bernoulli Inequality

The Bernoulli Inequality calculator helps students and mathematicians verify the inequality (1 + x)^r \geq 1 + rx, which holds for real numbers x \geq -1 and integers r \geq 0. This tool is particularly useful for learning and validating mathematical proofs and concepts involving inequalities and exponential growth.

Cubic Equation

This cubic equation solver helps you find the roots of any third-degree polynomial of the form ax³ + bx² + cx + d = 0. Whether the equation has real or complex roots, the tool uses Cardano’s method to calculate accurate solutions instantly. It’s perfect for students, teachers, and professionals who need to solve cubic equations quickly and reliably.

Discriminant Quadratic Equation

This calculator helps you determine the discriminant of a quadratic equation of the form ax² + bx + c = 0. It’s useful for students, teachers, and anyone working with algebra, as the discriminant indicates the nature and number of the equation’s roots.

Fibonacci Series

Easily generate the Fibonacci sequence up to any number of terms or a maximum value. This tool is helpful for students, teachers, and anyone curious about mathematical patterns. Just enter the number of terms or limit, and see the magic of Fibonacci in action!

Geometric Progression

This calculator helps you quickly find the n-th term of a geometric progression. It’s useful for students, teachers, and professionals dealing with mathematical series. Just input the first term, the common ratio, and the term number to get the result instantly.

Multiply Binomial

This calculator helps you multiply two binomials using algebraic expansion rules such as FOIL (First, Outer, Inner, Last). It’s ideal for students, teachers, and anyone learning or working with algebra to quickly simplify expressions like (x + 2)(x + 3).

Discriminant Quadratic Equation

This calculator helps you determine the discriminant of a quadratic equation of the form ax² + bx + c = 0. It’s useful for students, teachers, and anyone working with algebra, as the discriminant indicates the nature and number of the equation’s roots.

Quartic Equation

This calculator helps you find the real and complex roots of a quartic (fourth-degree) polynomial equation of the form ax⁴ + bx³ + cx² + dx + e = 0. It’s useful for students, engineers, and anyone dealing with algebraic equations. Just enter the coefficients and get the exact roots instantly.

Stirling’s Factorial Approximation

Stirling’s Factorial Approximation calculator estimates the factorial of a large number using an efficient logarithmic formula. It’s especially useful in statistics, probability theory, and combinatorics when exact factorial values become too large to compute. This tool provides a fast and accurate approximation using Stirling’s formula.

Sum of Consecutive Cubes

This calculator helps you find the sum of the first n cube numbers quickly and accurately using the formula for consecutive cubes. It’s especially useful for students, teachers, and math enthusiasts looking to simplify complex summation problems without manual calculations.

Sum of Consecutive Squares

This calculator quickly finds the sum of squares of the first n natural numbers using a well-known mathematical formula. It’s ideal for students, teachers, and professionals who need to perform quick calculations in algebra, programming, or physics. Just enter any positive integer n to get the result instantly.

Sum of Two Cubes

This calculator helps you quickly compute the sum of two cubes using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). It’s useful for algebra students, teachers, and anyone who needs to simplify or factor cube expressions. Just input the values for a and b, and the result is calculated instantly.

Arithmetic Progression

The Arithmetic Progression calculator helps you find terms, sums, and other key values in a sequence where each term increases or decreases by a constant difference. It’s useful for students, teachers, and anyone dealing with number patterns in math, finance, or everyday problem solving.