The expression 5-xx2-x-20 when simplified equals

The correct option is C 1(x+4) The given expression can be factored as follows 5 x(x 5)(x+4)= 1x+4 ...

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Factorisation by Regrouping Terms

The expressio...

Question

The expression $\frac{5 - x}{x^{2} - x - 20}$ when simplified equals

\frac{1}{(x + 4)}

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\frac{1}{(x - 4)}

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- \frac{1}{(x + 4)}

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\frac{1}{(x - 5)}

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Solution

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\frac{5 - x}{x^{2} - x - 20}

[\frac{x + 1}{x - 1} - \frac{x - 1}{x + 1} - \frac{4 x}{x^{2} + 1}] \div \frac{4}{x^{4} - 1}

\frac{1}{x + 1} - \frac{1}{x - 1} - \frac{x^{2}}{x + 1} + \frac{x^{2}}{x - 1}

\frac{1}{\frac{1}{x - 4} - \frac{1}{x + 6}}

Simplify the expressions and find the value if x is equal to 2

(i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7

(iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

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