What is (2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3) ?

The solution to (2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3) is x/(x+5)

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simplify (2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)

simplify

\frac{2 x ^{2} - 7 x - 15}{x ^{2} - 25} \cdot \frac{x ^{2} + x}{2 x ^{2} + 5 x + 3}

\frac{x}{x + 5}

Solution steps

\frac{2 x ^{2} - 7 x - 15}{x ^{2} - 25} \cdot \frac{x ^{2} + x}{2 x ^{2} + 5 x + 3}

Cancel

\frac{2 x ^{2} - 7 x - 15}{x ^{2} - 25} : \frac{2 x + 3}{x + 5}

= \frac{2 x + 3}{x + 5} \cdot \frac{x ^{2} + x}{2 x ^{2} + 5 x + 3}

Cancel

\frac{x ^{2} + x}{2 x ^{2} + 5 x + 3} : \frac{x}{2 x + 3}

= \frac{2 x + 3}{x + 5} \cdot \frac{x}{2 x + 3}

Cross-cancel common factor:

2 x + 3

= \frac{x}{x + 5}

(2 - 54) (1048)

x (x - 2)^{2}

lo g_{2} (200)

\frac{x ^{2}}{2 x ^{2}}

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

What is (2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3) ?
The solution to (2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3) is x/(x+5)