Solve (3x ^ 3 + 5x - 4) - (6x ^ 4 - x + 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

$$(3x^{3}+5x-4)-(6x^{4}-x+2)$$

Evaluate

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

Solution Steps

To find the opposite of $6x^{4}-x+2$, find the opposite of each term.

$$3x^{3}+5x-4-6x^{4}+x-2$$

Combine $5x$ and $x$ to get $6x$.

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

Subtract $2$ from $-4$ to get $-6$.

$$3x^{3}+6x-6-6x^{4}$$

Expand

$-6x^{4}+3x^{3}+6x-6$

Solution Steps

To find the opposite of $6x^{4}-x+2$, find the opposite of each term.

$$3x^{3}+5x-4-6x^{4}+x-2$$

Combine $5x$ and $x$ to get $6x$.

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

Subtract $2$ from $-4$ to get $-6$.

$$3x^{3}+6x-6-6x^{4}$$