What is (x^2-2x-15)/(5-x) ?

The solution to (x^2-2x-15)/(5-x) is -x-3

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simplify (x^2-2x-15)/(5-x)

simplify

\frac{x ^{2} - 2 x - 15}{5 - x}

- x - 3

Solution steps

\frac{x ^{2} - 2 x - 15}{5 - x}

Factor

x^{2} - 2 x - 15 : (x + 3) (x - 5)

= \frac{( x + 3 ) ( x - 5 )}{5 - x}

5 - x = - (x - 5)

= \frac{( x + 3 ) ( x - 5 )}{- ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x + 3}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (x + 3)

Simplify

- (x + 3) : - x - 3

= - x - 3

(3 x^{\frac{1}{2}} y^{2})^{4}

4 \frac{1}{19} - 3 \frac{27}{38}

a x^{2} - 3 a^{2} x + 2 a^{3}

\frac{4}{18}

\frac{16 10}{2 32}