What is factor x^2+12xy+32y^2 ?

The solution to factor x^2+12xy+32y^2 is (x+4y)(x+8y)

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factor x^2+12xy+32y^2

factor

x^{2} + 12 x y + 32 y^{2}

(x + 4 y) (x + 8 y)

Solution steps

x^{2} + 12 x y + 32 y^{2}

Break the expression into groups

= (x^{2} + 4 x y) + (8 x y + 32 y^{2})

Factor out

x

from

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

Factor out

8 y

from

8 x y + 32 y^{2} : 8 y (x + 4 y)

= x (x + 4 y) + 8 y (x + 4 y)

Factor out common term

x + 4 y

= (x + 4 y) (x + 8 y)

\frac{8}{9} - \frac{2}{9}

\frac{x ^{3} + 6 x ^{2} + 11 x + 6}{5 x ^{3} - 12 x ^{2} + 7 x - 6} > 0

x^{\frac{1}{2}} \cdot x^{\frac{1}{3}}

- 2 x^{2} - 8 x - 6 < 0

4 x^{2} - 48 x + 144 = 0

What is factor x^2+12xy+32y^2 ?
The solution to factor x^2+12xy+32y^2 is (x+4y)(x+8y)