Solve (y - 1)(y + 1)(2y + 1) | 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

$$(y-1)(y+1)(2y+1)$$

Evaluate

$\left(2y+1\right)\left(y^{2}-1\right)$

Solution Steps

Apply the distributive property by multiplying each term of $y-1$ by each term of $y+1$.

$$\left(y^{2}+y-y-1\right)\left(2y+1\right)$$

Combine $y$ and $-y$ to get $0$.

$$\left(y^{2}-1\right)\left(2y+1\right)$$

Apply the distributive property by multiplying each term of $y^{2}-1$ by each term of $2y+1$.

$$2y^{3}+y^{2}-2y-1$$

Expand

$2y^{3}+y^{2}-2y-1$

Solution Steps

Apply the distributive property by multiplying each term of $y-1$ by each term of $y+1$.

$$\left(y^{2}+y-y-1\right)\left(2y+1\right)$$

Combine $y$ and $-y$ to get $0$.

$$\left(y^{2}-1\right)\left(2y+1\right)$$

Apply the distributive property by multiplying each term of $y^{2}-1$ by each term of $2y+1$.

$$2y^{3}+y^{2}-2y-1$$