What is (y^2-9y+20)/(25-y^2)*(y^2+5y)/(y^2-4y) ?

The solution to (y^2-9y+20)/(25-y^2)*(y^2+5y)/(y^2-4y) is -1

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simplify (y^2-9y+20)/(25-y^2)*(y^2+5y)/(y^2-4y)

simplify

\frac{y ^{2} - 9 y + 20}{25 - y ^{2}} \cdot \frac{y ^{2} + 5 y}{y ^{2} - 4 y}

- 1

Solution steps

\frac{y ^{2} - 9 y + 20}{25 - y ^{2}} \cdot \frac{y ^{2} + 5 y}{y ^{2} - 4 y}

Cancel

\frac{y ^{2} - 9 y + 20}{25 - y ^{2}} : - \frac{y - 4}{5 + y}

= - \frac{y - 4}{5 + y} \cdot \frac{y ^{2} + 5 y}{y ^{2} - 4 y}

Cancel

\frac{y ^{2} + 5 y}{y ^{2} - 4 y} : \frac{y + 5}{y - 4}

= - \frac{y - 4}{5 + y} \cdot \frac{y + 5}{y - 4}

Cross-cancel common factor:

y - 4

= - \frac{y + 5}{5 + y}

Cancel

\frac{y + 5}{5 + y} : 1

= - 1

(2 x - 6)^{2} - 2 x - 6 - 10

\frac{3 ( u ^{4} ) ^{3}}{6 u ^{5}}

81 \cdot 5

(43 - 5) (53 + 45)

(x - 2) - 2

What is (y^2-9y+20)/(25-y^2)*(y^2+5y)/(y^2-4y) ?
The solution to (y^2-9y+20)/(25-y^2)*(y^2+5y)/(y^2-4y) is -1