What is (3x)/(x-5)*(x^2+4x-45)/(x^2+2x-63) ?

The solution to (3x)/(x-5)*(x^2+4x-45)/(x^2+2x-63) is (3x)/(x-7)

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simplify (3x)/(x-5)*(x^2+4x-45)/(x^2+2x-63)

simplify

\frac{3 x}{x - 5} \cdot \frac{x ^{2} + 4 x - 45}{x ^{2} + 2 x - 63}

\frac{3 x}{x - 7}

Solution steps

\frac{3 x}{x - 5} \cdot \frac{x ^{2} + 4 x - 45}{x ^{2} + 2 x - 63}

Cancel

\frac{x ^{2} + 4 x - 45}{x ^{2} + 2 x - 63} : \frac{x - 5}{x - 7}

= \frac{3 x}{x - 5} \cdot \frac{x - 5}{x - 7}

Cross-cancel common factor:

x - 5

= \frac{3 x}{x - 7}

\frac{x + 3 y}{x ^{2} + 2 x y - 3 y ^{2}}

22 \times 4512300000

\frac{2 + 2 3}{2}

(x + y)^{2} + (x - y)^{2}

(8 x - 5)^{2}

What is (3x)/(x-5)*(x^2+4x-45)/(x^2+2x-63) ?
The solution to (3x)/(x-5)*(x^2+4x-45)/(x^2+2x-63) is (3x)/(x-7)