What is factor x^2+5xy+6y^2 ?

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

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factor x^2+5xy+6y^2

factor

x^{2} + 5 x y + 6 y^{2}

(x + 2 y) (x + 3 y)

Solution steps

x^{2} + 5 x y + 6 y^{2}

Break the expression into groups

= (x^{2} + 2 x y) + (3 x y + 6 y^{2})

Factor out

x

from

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

Factor out

3 y

from

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

= x (x + 2 y) + 3 y (x + 2 y)

Factor out common term

x + 2 y

= (x + 2 y) (x + 3 y)

3 x^{2} - 11 x + 8 = 0

\frac{2 x - 5}{3} = 7

(x - 3)^{2} - 9 y^{2}

4 a^{2} - 3 a - 1

(x - 14) (x + 10) = - 104

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