Solve (6y ^ 2 + y - 2) - (- 8y ^ 3 + 3y ^ 2 + 7) | 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

$$(6y^{2}+y-2)-(-8y^{3}+3y^{2}+7)$$

Evaluate

$8y^{3}+3y^{2}+y-9$

Solution Steps

To find the opposite of $-8y^{3}+3y^{2}+7$, find the opposite of each term.

$$6y^{2}+y-2+8y^{3}-3y^{2}-7$$

Combine $6y^{2}$ and $-3y^{2}$ to get $3y^{2}$.

$$3y^{2}+y-2+8y^{3}-7$$

Subtract $7$ from $-2$ to get $-9$.

$$3y^{2}+y-9+8y^{3}$$

Expand

$8y^{3}+3y^{2}+y-9$

Solution Steps

To find the opposite of $-8y^{3}+3y^{2}+7$, find the opposite of each term.

$$6y^{2}+y-2+8y^{3}-3y^{2}-7$$

Combine $6y^{2}$ and $-3y^{2}$ to get $3y^{2}$.

$$3y^{2}+y-2+8y^{3}-7$$

Subtract $7$ from $-2$ to get $-9$.

$$3y^{2}+y-9+8y^{3}$$