What is ((x^2+15-8x))/((3-x)) ?

The solution to ((x^2+15-8x))/((3-x)) is -x+5

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simplify ((x^2+15-8x))/((3-x))

simplify

\frac{( x ^{2} + 15 - 8 x )}{( 3 - x )}

- x + 5

Solution steps

\frac{x ^{2} + 15 - 8 x}{3 - x}

Factor

x^{2} + 15 - 8 x : (x - 3) (x - 5)

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

3 - x = - (x - 3)

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

Cancel the common factor:

x - 3

= \frac{x - 5}{- 1}

Apply the fraction rule:

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

= - (x - 5)

Simplify

- (x - 5) : - x + 5

= - x + 5

1 - 2

- 1 x^{1}

\frac{24}{150}

(3 x^{2} - 2 x + 1) (x - 4)

(8) (- 3)