X/(x + 2) (x - 3) =______?
- 2/5(x + 2)-3/5(x - 3)
- 2/5(x + 2)+3/5(x - 3)
- 2/5(x - 2) +3/5(x+3)
- None of the above
Explanation
To see why, let's simplify the expression X/(x + 2)(x - 3) by breaking it down into partial fractions:X/(x + 2)(x - 3) = A/(x + 2) + B/(x - 3)
Solving for A and B, we get:
A = 2/5 and B = 3/5
So, the expression becomes:
X/(x + 2)(x - 3) = 2/5(x + 2) + 3/5(x - 3)
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