What is factor (5x^2+20xy+20y^2)/(x^2-xy-6y^2) ?

The solution to factor (5x^2+20xy+20y^2)/(x^2-xy-6y^2) is (5(x+2y))/(x-3y)

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factor (5x^2+20xy+20y^2)/(x^2-xy-6y^2)

factor

\frac{5 x ^{2} + 20 x y + 20 y ^{2}}{x ^{2} - x y - 6 y ^{2}}

\frac{5 ( x + 2 y )}{x - 3 y}

Solution steps

\frac{5 x ^{2} + 20 x y + 20 y ^{2}}{x ^{2} - x y - 6 y ^{2}}

Factor

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

= \frac{5 ( x + 2 y ) ^{2}}{x ^{2} - x y - 6 y ^{2}}

Factor

x^{2} - x y - 6 y^{2} : (x + 2 y) (x - 3 y)

= \frac{5 ( x + 2 y ) ^{2}}{( x + 2 y ) ( x - 3 y )}

Cancel the common factor:

x + 2 y

= \frac{5 ( x + 2 y )}{x - 3 y}

- \frac{1}{2} t = - 12

3 x^{2} + 30 x + 48 = 0

5 x^{2} + 22 x + 8

- 10 ∣ v + 2 ∣ = - 70

(20) (8) - (20 - 2 x) (8 - 2 x) = 40

What is factor (5x^2+20xy+20y^2)/(x^2-xy-6y^2) ?
The solution to factor (5x^2+20xy+20y^2)/(x^2-xy-6y^2) is (5(x+2y))/(x-3y)