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

(a + b) (a + b) (a + b)

- 3 (- 3)

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

\frac{39}{2}

f (x) 0