Simplify \(\frac{324 - 4x^2}{2x + 18}\)
A
2(x - 9)
B
2(9 + x)
C
81 - x\(^2\)
D
-2(x - 9)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
234 - 4x\(^2\) = 18\(^2\) - (2x)\(^2\) = (18 - 2x)(18 + 2x)
2x + 18 = 2x + 18 = (2x + 18)
18 - 2x = 2(9 - x) or -2(x - 9)
Source: Myschool Past Questions Archive (Record #56763)