Question

Which algebraic expression is equivalent to the expression below?

[2x+1-(4x+6)]^2

A. 4x2 + 20x + 25
B. 36x2 - 60x + 25
C. 36x2 + 84x + 49
D. 4x2 - 28x + 49

Answer 1

4x2+20x+25 is the A

Answer 2

A. 4x²+20x+25

Explanation:

Because of PEMDAS, you calculate the value inside of the parenthesis first, so you expand [2x+1-(4x+6)]:

2x+1-4x-6 = -2x-5.

Then apply the exponent:

(-2x-5)² = (-2x-5)(-2x-5) = 4x²+10x+10x+25 = 4x²+20x+25