Find the special product using the appropriate formula.
-$$( 3 x + 8 ) ^ { 2 }$$
A) $9 x ^ { 2 } + 64$
B) $3 x ^ { 2 } + 64$
C) $9 x ^ { 2 } + 48 x + 64$
D) $3 x ^ { 2 } + 48 x + 64$

Question

Quizplus · Accepted Answer

The formula for squaring a binomial is $(a+b)^2=a^2+2ab+b^2$. In this case, $a=3x$ and $b=8$, so $(3x+8)^2= (3x)^2+2(3x)(8)+8^2=9x^2+48x+64$. Therefore, the best choice is C.

Find the Special Product Using the Appropriate Formula (3x+8)2( 3 x + 8 ) ^ { 2 }(3x+8)2

Find the Special Product Using the Appropriate Formula $( 3 x + 8 ) ^ { 2 }$