Write the area of the square in simplest polynomial form. A = s2

A square with a side length of 2x + 7.
A. 4x2 + 49
B. 4x2 + 14
C. 4x2 + 14x + 49
D. 4x2 + 28x + 49

Question

Write the area of the square in simplest polynomial form. A = s2

A square with a side length of 2x + 7.
	A.	4x2 + 49
	B.	4x2 + 14
	C.	4x2 + 14x + 49
	D.	4x2 + 28x + 49

anonymous · Answer

D

anonymous · Answer

Multiply it out with FOIL.
(2x+7)(2x+7)

1) F - First (Multiply the first numbers in both parenthesis together.)
2x * 2x = 4x^2

2) O - Outer (Multiply the outer numbers in the parenthesis.)
2x * 7 = 14x

3) I - Inner (Multiply the inner numbers in the parenthesis.)
7 * 2x = 14x

4) L - Last (Multiply the last numbers in the parenthesis.)
7 * 7 = 49

5) Now put all those values together, and add like variables.

4x^2+14x+14x+49 = 4x^2+28x+49

Answer: 4x^2+28x+49

anonymous · Answer

:)

anonymous · Answer

$$(a+b)^{2} = a ^{2} +2ab +b ^{2}$$