Question

1. 4b(-5b - 3) - 2(b² - 7b - 4)

Explanation:

Step1: Expand each term

$4b(-5b - 3) = -20b^2 - 12b$
$-2(b^2 - 7b - 4) = -2b^2 + 14b + 8$

Step2: Combine expanded terms

$(-20b^2 - 12b) + (-2b^2 + 14b + 8)$

Step3: Combine like terms

$(-20b^2 - 2b^2) + (-12b + 14b) + 8 = -22b^2 + 2b + 8$

Answer:

$-22b^2 + 2b + 8$