Solve d . - 4x(x - 6) - 2(x ^ 2 - 3x + 1); overline 2 | 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

$$- 4 x ( x - 6 ) - 2 ( x ^ { 2 } - 3 x + 1 )$$

Evaluate

$-6x^{2}+30x-2$

Solution Steps

Use the distributive property to multiply $-4x$ by $x-6$.

$$-4x^{2}+24x-2\left(x^{2}-3x+1\right)$$

Use the distributive property to multiply $-2$ by $x^{2}-3x+1$.

$$-4x^{2}+24x-2x^{2}+6x-2$$

Combine $-4x^{2}$ and $-2x^{2}$ to get $-6x^{2}$.

$$-6x^{2}+24x+6x-2$$

Combine $24x$ and $6x$ to get $30x$.

$$-6x^{2}+30x-2$$

Expand

$-6x^{2}+30x-2$

Solution Steps

Use the distributive property to multiply $-4x$ by $x-6$.

$$-4x^{2}+24x-2\left(x^{2}-3x+1\right)$$

Use the distributive property to multiply $-2$ by $x^{2}-3x+1$.

$$-4x^{2}+24x-2x^{2}+6x-2$$

Combine $-4x^{2}$ and $-2x^{2}$ to get $-6x^{2}$.

$$-6x^{2}+24x+6x-2$$

Combine $24x$ and $6x$ to get $30x$.

$$-6x^{2}+30x-2$$