Chapter 8.5, Problem 1CYU

To determine

To factor: The polynomial $21b-15a$ using the Distributive Property

Answer to Problem 1CYU

  $3\left(7b-5a\right)$

Explanation of Solution

Given:

  $21b-15a$

Calculation:

The Distributive Property is given by

  $a\left(b+c\right)=ab+ac\text{ and }ab+ac=a\left(b+c\right)$ , where a , b and c are real numbers

Now, in the given polynomial the GCF is $3$

So, factored out the GCF and use the distributive property

  $\begin{array}{l}21b-15a\\ =3\left(7b-5a\right)\end{array}$

So, the factored form is $3\left(7b-5a\right)$