Question

|(9f + 9) + (9f + 9 + 1)| · f
which of the following expressions is equivalent to the given expression?
choose 1 answer:
a 18(f² + f)
b 18f² + 18f + 1
c 18(f² + f + 1)
d 18f² + 19f

Explanation:

Step1: Simplify the inner parentheses

First, simplify the expression inside the brackets: \((9f + 9)+(9f + 9 + 1)\). Combine like terms: \(9f+9f = 18f\) and \(9 + 9+1=19\). So the expression inside the brackets becomes \(18f + 19\).

Step2: Multiply by \(f\)

Now, multiply the result by \(f\): \((18f + 19)\cdot f=18f\cdot f+19\cdot f = 18f^{2}+19f\).

Answer:

D. \(18f^{2}+19f\)