Simplify (frac{324 – 4x^2}{2x + 18})
-
A.
2(x – 9) -
B.
2(9 + x) -
C.
81 – x2 -
D.
-2(x – 9)
Correct Answer: Option D
Explanation
(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)