Question

1. -4d(5d² - 12) + 7(d + 5)

Explanation:

Step1: Distribute -4d to terms inside parentheses

$-4d \times 5d^2 + (-4d) \times (-12) = -20d^3 + 48d$

Step2: Distribute 7 to terms inside parentheses

$7 \times d + 7 \times 5 = 7d + 35$

Step3: Combine all simplified terms

$-20d^3 + 48d + 7d + 35$

Step4: Combine like linear terms

$48d + 7d = 55d$

Answer:

$-20d^3 + 55d + 35$