What is (x^2-7x+10)/(x-2)*(x+10)/(x^2-x-20) ?

The solution to (x^2-7x+10)/(x-2)*(x+10)/(x^2-x-20) is (x+10)/(x+4)

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simplify (x^2-7x+10)/(x-2)*(x+10)/(x^2-x-20)

simplify

\frac{x ^{2} - 7 x + 10}{x - 2} \cdot \frac{x + 10}{x ^{2} - x - 20}

\frac{x + 10}{x + 4}

Solution steps

\frac{x ^{2} - 7 x + 10}{x - 2} \cdot \frac{x + 10}{x ^{2} - x - 20}

Cancel

\frac{x ^{2} - 7 x + 10}{x - 2} : x - 5

= (x - 5) \frac{x + 10}{x ^{2} - x - 20}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x - 5 ) ( x + 10 )}{x ^{2} - x - 20}

Factor

x^{2} - x - 20 : (x + 4) (x - 5)

= \frac{( x - 5 ) ( x + 10 )}{( x + 4 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x + 10}{x + 4}

(4 x - 7) (4 x + 7)

\frac{31}{5}

3 \times \frac{1}{4}

(2 - \frac{1}{2} x)^{2}

(- 15 - 13 i) (- 15 + 13 i)

What is (x^2-7x+10)/(x-2)*(x+10)/(x^2-x-20) ?
The solution to (x^2-7x+10)/(x-2)*(x+10)/(x^2-x-20) is (x+10)/(x+4)