What is factor x^2+6xy+8y^2 ?

The solution to factor x^2+6xy+8y^2 is (x+2y)(x+4y)

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factor x^2+6xy+8y^2

factor

x^{2} + 6 x y + 8 y^{2}

(x + 2 y) (x + 4 y)

Solution steps

x^{2} + 6 x y + 8 y^{2}

Break the expression into groups

= (x^{2} + 2 x y) + (4 x y + 8 y^{2})

Factor out

x

from

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

Factor out

4 y

from

4 x y + 8 y^{2} : 4 y (x + 2 y)

= x (x + 2 y) + 4 y (x + 2 y)

Factor out common term

x + 2 y

= (x + 2 y) (x + 4 y)

(3 x + 1)^{2} = 5

6 x^{2} - 6 x = 0

2 x^{2} + 21 x + 10

(2 x^{\frac{1}{2}} y^{\frac{3}{4}}) (3 x^{\frac{1}{4}})

- (x - 4) + (2 - x) = 6

What is factor x^2+6xy+8y^2 ?
The solution to factor x^2+6xy+8y^2 is (x+2y)(x+4y)