Question

1. which expression is equivalent to $3(x - 4)^2$?

a $3x^2 + 48$
b $3x^2 - 24x + 48$
c $9x^2 - 72x + 144$

Explanation:

Step1: Expand $(x-4)^2$

$(x-4)^2 = x^2 - 8x + 16$

Step2: Multiply by 3

$3(x^2 - 8x + 16) = 3x^2 - 24x + 48$

Answer:

B. $3x^2 - 24x + 48$