What is (5y^2-20)/(y^2-9y+14) ?

The solution to (5y^2-20)/(y^2-9y+14) is (5(y+2))/(y-7)

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simplify (5y^2-20)/(y^2-9y+14)

simplify

\frac{5 y ^{2} - 20}{y ^{2} - 9 y + 14}

\frac{5 ( y + 2 )}{y - 7}

Solution steps

\frac{5 y ^{2} - 20}{y ^{2} - 9 y + 14}

Factor

5 y^{2} - 20 : 5 (y + 2) (y - 2)

= \frac{5 ( y + 2 ) ( y - 2 )}{y ^{2} - 9 y + 14}

Factor

y^{2} - 9 y + 14 : (y - 2) (y - 7)

= \frac{5 ( y + 2 ) ( y - 2 )}{( y - 2 ) ( y - 7 )}

Cancel the common factor:

y - 2

= \frac{5 ( y + 2 )}{y - 7}

(b + c)^{3}

a \frac{0.7}{9} - \frac{4}{15} + \frac{7}{6}

2 x y + x

x^{4} - y^{2} - 2 x^{2} + 1

100 x + 180 x + 81

What is (5y^2-20)/(y^2-9y+14) ?
The solution to (5y^2-20)/(y^2-9y+14) is (5(y+2))/(y-7)