Solve x ^ 3 * (x - 2) + 4x ^ 3 * (2x - 6) | 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

$$x^{3}(x-2)+4x^{3}(2x-6)$$

Evaluate

$\left(9x-26\right)x^{3}$

Solution Steps

Use the distributive property to multiply $x^{3}$ by $x-2$.

$$x^{4}-2x^{3}+4x^{3}\left(2x-6\right)$$

Use the distributive property to multiply $4x^{3}$ by $2x-6$.

$$x^{4}-2x^{3}+8x^{4}-24x^{3}$$

Combine $x^{4}$ and $8x^{4}$ to get $9x^{4}$.

$$9x^{4}-2x^{3}-24x^{3}$$

Combine $-2x^{3}$ and $-24x^{3}$ to get $-26x^{3}$.

$$9x^{4}-26x^{3}$$

Expand

$9x^{4}-26x^{3}$

Solution Steps

Use the distributive property to multiply $x^{3}$ by $x-2$.

$$x^{4}-2x^{3}+4x^{3}\left(2x-6\right)$$

Use the distributive property to multiply $4x^{3}$ by $2x-6$.

$$x^{4}-2x^{3}+8x^{4}-24x^{3}$$

Combine $x^{4}$ and $8x^{4}$ to get $9x^{4}$.

$$9x^{4}-2x^{3}-24x^{3}$$

Combine $-2x^{3}$ and $-24x^{3}$ to get $-26x^{3}$.

$$9x^{4}-26x^{3}$$