Answer
$4b^{2} - 33b + 8$
Work Step by Step
To simplify the polynomial we apply the distributive property that states:
a(b+c)=ab+ac
= 4b(b-8) - 1(b-8)
= ($4b \times b$) + ($4b\times-8$) + ($ - 1\times b$) + ($- 1 \times -8$)
= $4b^{2} - 32b - b + 8$
= $4b^{2} - 33b + 8$
We add like terms to get final answer
