Question

gebra 1 > ★ w.11 multiply polynomials 58a
find the square. simplify your answer.
$(f - 4)^2$

Explanation:

Step1: Recall square of difference formula

The formula for the square of a binomial difference is $(a - b)^2 = a^2 - 2ab + b^2$. Here, $a = f$ and $b = 4$.

Step2: Substitute values into formula

Substitute $a=f$ and $b=4$ into the formula:
$(f - 4)^2 = f^2 - 2(f)(4) + 4^2$

Step3: Simplify each term

Calculate each term:
$-2(f)(4) = -8f$, and $4^2 = 16$.
Combine the terms: $f^2 - 8f + 16$

Answer:

$f^2 - 8f + 16$