Question
Download Solution PDFSimplify the following expression.
\(\frac{x^2-2 x-63}{x^2+14 x+49}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
\(\frac{x^2-2 x-63}{x^2+14 x+49}\)
⇒ {x2 - 9x + 7x - 63}/{x2 + 7x + 7x + 49}
⇒ {x(x - 9) + 7 (x - 9)}/{x(x + 7) + 7(x + 7)}
⇒ {(x -9) × (x + 7)}/{(x + 7) × (x + 7)}
⇒ \(\frac{x-9}{x+7}\)
∴ The correct option is 4.
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