Solve (a + b + c) ^ 3; - a ^ 3 - b ^ 3 - c ^ 3 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(a+b+c)^{3}; -a^{3}-b^{3}-c^{3}$$

Least Common Multiple

$lcm(\left(a+b+c\right)^{3},-a-b^{3}-c^{3})$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$\left(a+b+c\right)^{3}\left(a+b^{3}+c^{3}\right)$$

Expand the expression.

$$a^{4}+a^{3}b^{3}+a^{3}c^{3}+3a^{2}b^{4}+3a^{2}b^{2}+3a^{2}c^{4}+3a^{2}c^{2}+3ab^{5}+ab^{3}+3ab^{2}c^{3}+6abc^{4}+3abc^{2}+3ac^{5}+ac^{3}+3ac^{2}b^{3}+6acb^{4}+3acb^{2}+b^{6}+2b^{3}c^{3}+3b^{2}c^{4}+3ba^{3}+3ba^{2}c^{3}+3bc^{5}+6bca^{2}+c^{6}+3c^{2}b^{4}+3ca^{3}+3ca^{2}b^{3}+3cb^{5}$$

Evaluate

$\left(a+b+c\right)^{3},\ -a-b^{3}-c^{3}$