What is factor x^2+5xy+4y^2 ?

The solution to factor x^2+5xy+4y^2 is (x+y)(x+4y)

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factor x^2+5xy+4y^2

factor

x^{2} + 5 x y + 4 y^{2}

(x + y) (x + 4 y)

Solution steps

x^{2} + 5 x y + 4 y^{2}

Break the expression into groups

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

Factor out

x

from

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

Factor out

4 y

from

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

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

Factor out common term

x + y

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

lo g_{\frac{1}{4}} (2)

y^{2} + 6 y + 5

16 x^{2} - 3 = 78

2 x^{2} = 36

3 (y - 6)^{2} = 72

What is factor x^2+5xy+4y^2 ?
The solution to factor x^2+5xy+4y^2 is (x+y)(x+4y)