Multiple Choice Question (MCQ)
Simplify the algebraic expression (\dfrac{a^2}{a-3}+\dfrac{9}{3-a})÷\dfrac{a+3}{a} , it’s result is
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×
-a
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✓
a
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×
\dfrac{(a+3)^2}{a}
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1
Answer
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(\dfrac{a^2}{a-3}+\dfrac{9}{3-a})÷\dfrac{a+3}{a}
=(\dfrac{a^2-9}{a-3})\cdotp \dfrac{a}{a+3}
=\dfrac{(a+3)(a-3)}{a-3}\cdotp \dfrac{a}{a+3}
=a