What is (x^2-36)/(6-x) ?

The solution to (x^2-36)/(6-x) is -x-6

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simplify (x^2-36)/(6-x)

simplify

\frac{x ^{2} - 36}{6 - x}

- x - 6

Solution steps

\frac{x ^{2} - 36}{6 - x}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{6 - x}

6 - x = - (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{- ( x - 6 )}

Cancel the common factor:

x - 6

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

Apply the fraction rule:

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

= - (x + 6)

Apply the distributive law:

- (a + b) = - a - b

- (x + 6) = - x - 6

= - x - 6

1 0^{∣ 0.2 ∣ \cdot l o g_{2} (128)} - 1

\frac{5 x + 20}{x ^{2} + 9} - \frac{20}{9}

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(- 6 a^{3} b + 2 a b^{2}) (5 a^{2} - 2 a b^{2} - b)