select the expression that is equivalent to (x + 6)^2.\na. 2x+12x + 12\nb. x^2+12x^2 + 36\nc. x^2+6x +…
select the expression that is equivalent to (x + 6)^2.\na. 2x+12x + 12\nb. x^2+12x^2 + 36\nc. x^2+6x + 36\nd. x^2+12x + 36
Answer
Explanation:
Step1: Apply the formula $(a + b)^2=a^{2}+2ab + b^{2}$
Here $a = x$ and $b = 6$. So $(x + 6)^2=x^{2}+2\times x\times6+6^{2}$.
Step2: Simplify the expression
$x^{2}+2\times x\times6+6^{2}=x^{2}+12x + 36$.
Answer:
D. $x^{2}+12x + 36$