What is factor 3x^2+10xy+8y^2 ?

The solution to factor 3x^2+10xy+8y^2 is (3x+4y)(x+2y)

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factor 3x^2+10xy+8y^2

factor

3 x^{2} + 10 x y + 8 y^{2}

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

Solution steps

3 x^{2} + 10 x y + 8 y^{2}

Break the expression into groups

= (3 x^{2} + 4 x y) + (6 x y + 8 y^{2})

Factor out

x

from

3 x^{2} + 4 x y : x (3 x + 4 y)

Factor out

2 y

from

6 x y + 8 y^{2} : 2 y (3 x + 4 y)

= x (3 x + 4 y) + 2 y (3 x + 4 y)

Factor out common term

3 x + 4 y

= (3 x + 4 y) (x + 2 y)

x^{2} + 8 x = 3

8 x^{2} + 10 x = 0

2 x^{2} + 4 x - 70

x^{2} + 12 x = 11

- 56 = 8 (x - 8)

What is factor 3x^2+10xy+8y^2 ?
The solution to factor 3x^2+10xy+8y^2 is (3x+4y)(x+2y)