Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)
A
\(\frac{3a+11}{(a-3)(a-2)}\)
B
\(\frac{3a+11}{(a+3)(a-2)}\)
C
\(\frac{3a+11}{(a+3)(a+2)}\)
D
\(\frac{3a+11}{(a-3)(a+2)}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{4}{a-3}-\frac{1}{a+3}\)
= \(\frac{4(a+2)-1(a-3)}{(a-3)(a+2)}\)
\(\frac{4a+8 -a +3}{(a-3)(a+2)}\)
= \(\frac{3a+11}{(a-3)(a+2)}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26576)