Simplify the expression. $$( x + 6 ) ^ { 2 }$$
A) $x ^ { 2 } + 12 x + 6$
B) $x ^ { 2 } + 36$
C) $x ^ { 2 } + 12 x + 36$
D) $x ^ { 2 } - 12 x + 36$
E) $x ^ { 2 } + 6 x + 36$

Question

Quizplus · Accepted Answer

To simplify the expression, we need to apply the formula for squaring a binomial, which is $$(a+b)^2 = a^2+2ab+b^2$$. In this case, a=x and b=6, so we have $$(x+6)^2 = x^2+2(x)(6)+6^2 = x^2+12x+36$$. Therefore, the answer is choice C.

Simplify the Expression (x+6)2( x + 6 ) ^ { 2 }(x+6)2

Simplify the Expression $( x + 6 ) ^ { 2 }$