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Simplify \( \Large \frac{x^{2}+11x+30}{ \left(x^{2}+2x-15\right) } \)

A) \( \Large \frac{x+6}{x-3} \)
B) \( \Large \frac{x+3}{x-3} \)
C) \( \Large \frac{x+6}{x-5} \)
D) \( \Large \frac{x+5}{x+6} \)

Correct Answer:

A) \( \Large \frac{x+6}{x-3} \)

Description for Correct answer:
Factors of \( \Large x^{2}+11x+30= \left(x+6\right) \left(x+5\right) \)

Factors of \( \Large x^{2}+2x -15 = \left(x+5\right) \left(x-3\right) \)

\( \Large \frac{x^{2}+11x+30}{x^{2}+2x-15} - \frac{ \left(x+6\right) \left(x+5\right) }{ \left(x+5\right) \left(x-3\right) } = \frac{x+6}{x-3} \)

Part of solved Factorisation questions and answers : >> Elementary Mathematics >> Factorisation

Comments

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