What is factor x^2+14xy+33y^2 ?

The solution to factor x^2+14xy+33y^2 is (x+3y)(x+11y)

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factor x^2+14xy+33y^2

factor

x^{2} + 14 x y + 33 y^{2}

(x + 3 y) (x + 11 y)

Solution steps

x^{2} + 14 x y + 33 y^{2}

Break the expression into groups

= (x^{2} + 3 x y) + (11 x y + 33 y^{2})

Factor out

x

from

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

Factor out

11 y

from

11 x y + 33 y^{2} : 11 y (x + 3 y)

= x (x + 3 y) + 11 y (x + 3 y)

Factor out common term

x + 3 y

= (x + 3 y) (x + 11 y)

8 x - 3 (2 x - 4) = 3 (x - 6)

n^{2} + 5 < 8

10 q - 25 q^{2}

z^{2} = 0

8 (w - 1) - 4 = 4 (2 w - 3)

What is factor x^2+14xy+33y^2 ?
The solution to factor x^2+14xy+33y^2 is (x+3y)(x+11y)