Chapter SH, Problem 8.17EP

To determine

To factor polynomial

  $4a-10ab+3b-15b^2$

Answer to Problem 8.17EP

  $(2-5b)(2a+3b)$

Explanation of Solution

Given information:

  $4a-10ab+3b-15b^2$

Calculation:

  $4a-10ab+3b-15b^2$

Rearranging equation

  $=4a-10ab+6b-15b^2$

Take $2a$ common from first two terms and $3b$ common from third and fourth term

  $=2a(2-5b)+3b{(2-5b)}^{}$

Taking $2-5b$ common from above

  $=(2-5b)(2a+3b)$