Question

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.

Answer 1

`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`