Solve ) (x ^ 2 + 3x - 2) - (4x - 2x ^ 2 - 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

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

Evaluate

$x\left(3x-1\right)$

Solution Steps

To find the opposite of $4x-2x^{2}-2$, find the opposite of each term.

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

Combine $3x$ and $-4x$ to get $-x$.

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

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

$$3x^{2}-x-2+2$$

Add $-2$ and $2$ to get $0$.

$$3x^{2}-x$$

Expand

$3x^{2}-x$

Solution Steps

To find the opposite of $4x-2x^{2}-2$, find the opposite of each term.

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

Combine $3x$ and $-4x$ to get $-x$.

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

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

$$3x^{2}-x-2+2$$

Add $-2$ and $2$ to get $0$.

$$3x^{2}-x$$