Factor equation. answer is second picture. I do not know to get there though. step by step. f=3-2(3a)^(2) is the equation.

Question

asked Dec 10, 2023 35.6k views

1 Answer

David Maymudes · Answer 1 · 2023-12-15T13:23:49+0000

Answer:

f=-18a^2+3

Explanation:

Given equation:

f=3-2(3a)^2

$\textsf{Apply exponent rule} \quad (ab)^n=a^n b^n:$

$\implies f=3-2(3^2a^2)$

Rewrite 3² as 9:

$\implies f=3-2(9a^2)$

Remove the parentheses:

$\implies f=3-2 \cdot 9a^2$

Multiply the numbers 2 · 9 = 18 :

$\implies f=3-18a^2$

Rearrange to make the variable the first term:

$\implies f=-18a^2+3$