Chapter 14.4, Problem 33HP

To determine

Toexplain:the multiplication of $-2nand3-5n$ .

Answer to Problem 33HP

  $-6n+10n^2$ .

Explanation of Solution

Given:

The given product is: $-2nand3-5n$

Calculation:

As thegiven product is $-2nand3-5n$ .

This is expanded as

  $\begin{array}{l}-2n\left(3-5n\right)\{\text{given equation}}\\ =-2n\left(3\right)-2n\left(-5n\right)\{\text{distributive property}}\\ =-6n+10n^2\{\text{simplify}}\end{array}$

By using the distributive property of multiplication, it is found that the multiplication of $-2nand3-5n$ is $-6n+10n^2$

Thus, $5\left(p^2+2p-2\right)-4p\left(p-1\right)=p^2+14p-10$

Hence, the multiplication of $-2nand3-5n$ is $-6n+10n^2$ .