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

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

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

simplify

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

\frac{5 x}{x + 5}

Solution steps

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

Factor

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

= \frac{5 x ( x - 3 )}{x ^{2} + 2 x - 15}

Factor

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

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

Cancel the common factor:

x - 3

= \frac{5 x}{x + 5}

(2 x - 3) (3 x + 1)

- 2 x^{2} - 32 x - 30

2 + 4 + 8 + 16 + 32 + 2^{n}

2 y + 7 - 3 y + 6

What is (5x^2-15x)/(x^2+2x-15) ?
The solution to (5x^2-15x)/(x^2+2x-15) is (5x)/(x+5)