What is factor x^2+7xy+10y^2 ?

The solution to factor x^2+7xy+10y^2 is (x+2y)(x+5y)

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factor x^2+7xy+10y^2

factor

x^{2} + 7 x y + 10 y^{2}

(x + 2 y) (x + 5 y)

Solution steps

x^{2} + 7 x y + 10 y^{2}

Break the expression into groups

= (x^{2} + 2 x y) + (5 x y + 10 y^{2})

Factor out

x

from

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

Factor out

5 y

from

5 x y + 10 y^{2} : 5 y (x + 2 y)

= x (x + 2 y) + 5 y (x + 2 y)

Factor out common term

x + 2 y

= (x + 2 y) (x + 5 y)

\frac{x ( x + 5 )}{( x - 6 ) ( x + 2 )} \geq 0

∣ x - 7 ∣ > 3

3 x^{2} - 2 x + 3 = 1 + 3 x

- 2 x^{2} + 5 x + 13 = 0

2 x^{2} + 22 x + 60 = 0

What is factor x^2+7xy+10y^2 ?
The solution to factor x^2+7xy+10y^2 is (x+2y)(x+5y)