Q. 267 - Intermediate Algebra

Question

In the following exercises, simplify the equation $\left(y^2\hspace{0.17em}-\hspace{0.17em}2y\right)\left(y\hspace{0.17em}+\hspace{0.17em}1\right)$.

Step-by-Step Solution

Answer

The simplified expression is $y^3-y^2-2y$.

Step 1. Given Information.

The expression is $\left(y^2\hspace{0.17em}-\hspace{0.17em}2y\right)\left(y\hspace{0.17em}+\hspace{0.17em}1\right)$.

Step 2. Simplify given equation.

Simplifying $\left(y^2\hspace{0.17em}-\hspace{0.17em}2y\right)\left(y\hspace{0.17em}+\hspace{0.17em}1\right)$

Expanding the above expression , we get:-

$$\begin{gathered} \left(y^2-2y\right)\left(y+1\right)=y^{2}y+y^2·\hspace{0.17em}1-2yy-2y·\hspace{0.17em}1 \\ {y}^{2}y+y^2·\hspace{0.17em}1-2yy-2y·\hspace{0.17em}1=y^3-y^2-2y \end{gathered}$$