What is factor 4x^2+8xy+3y^2 ?

The solution to factor 4x^2+8xy+3y^2 is (2x+y)(2x+3y)

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factor 4x^2+8xy+3y^2

factor

4 x^{2} + 8 x y + 3 y^{2}

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

Solution steps

4 x^{2} + 8 x y + 3 y^{2}

Break the expression into groups

= (4 x^{2} + 2 x y) + (6 x y + 3 y^{2})

Factor out

2 x

from

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

Factor out

3 y

from

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

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

Factor out common term

2 x + y

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

20 + 45 - 5

6!

z^{2} + z - 30

- \frac{35}{2} (\frac{1}{10 0 ^{2}}) + \frac{35}{2}

2 a = - a

What is factor 4x^2+8xy+3y^2 ?
The solution to factor 4x^2+8xy+3y^2 is (2x+y)(2x+3y)