What is factor 45x^2+38xy+8y^2 ?

The solution to factor 45x^2+38xy+8y^2 is (5x+2y)(9x+4y)

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factor 45x^2+38xy+8y^2

factor

45 x^{2} + 38 x y + 8 y^{2}

(5 x + 2 y) (9 x + 4 y)

Solution steps

45 x^{2} + 38 x y + 8 y^{2}

Break the expression into groups

= (45 x^{2} + 18 x y) + (20 x y + 8 y^{2})

Factor out

9 x

from

45 x^{2} + 18 x y : 9 x (5 x + 2 y)

Factor out

4 y

from

20 x y + 8 y^{2} : 4 y (5 x + 2 y)

= 9 x (5 x + 2 y) + 4 y (5 x + 2 y)

Factor out common term

5 x + 2 y

= (5 x + 2 y) (9 x + 4 y)

- 3 x^{2} - 6 x

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

x^{9} - y^{6}

3 x^{2} + 12 x - 15 = 0

(2 s^{3} t^{- 2}) (\frac{1}{4} s^{7} t) (16 t^{4})

What is factor 45x^2+38xy+8y^2 ?
The solution to factor 45x^2+38xy+8y^2 is (5x+2y)(9x+4y)