What is factor x^2+8xy+15y^2 ?

The solution to factor x^2+8xy+15y^2 is (x+3y)(x+5y)

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factor x^2+8xy+15y^2

factor

x^{2} + 8 x y + 15 y^{2}

(x + 3 y) (x + 5 y)

Solution steps

x^{2} + 8 x y + 15 y^{2}

Break the expression into groups

= (x^{2} + 3 x y) + (5 x y + 15 y^{2})

Factor out

x

from

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

Factor out

5 y

from

5 x y + 15 y^{2} : 5 y (x + 3 y)

= x (x + 3 y) + 5 y (x + 3 y)

Factor out common term

x + 3 y

= (x + 3 y) (x + 5 y)

x^{2} = 3 x + 3

4 x^{2} + 11 x - 3 = 0

- 4 (2 x + 5) + x + 2 = - 11

6 c^{2} - 28 c + 16

4 = - \frac{2}{7} x + 2

What is factor x^2+8xy+15y^2 ?
The solution to factor x^2+8xy+15y^2 is (x+3y)(x+5y)