Simplify \(\frac{324 - 4x^2}{2x + 18}\)
A
2(x - 9)
B
2(9 + x)
C
81 - x2
D
-2(x - 9)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{324 - 4x^2}{2x + 18}\) = \(\frac{18^2 - (2x)^2}{2x + 18}\)
= \(\frac{(18 - 2x)(18 + 2x)}{(2x + 18)}\)
18 - 2x = 2(9 - x)
or -2(x - 9)
Source: Myschool Past Questions Archive (Record #31524)