What is factor 9x^2+36xy+36y^2 ?

The solution to factor 9x^2+36xy+36y^2 is 9(x+2y)^2

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factor 9x^2+36xy+36y^2

factor

9 x^{2} + 36 x y + 36 y^{2}

9 (x + 2 y)^{2}

Solution steps

9 x^{2} + 36 x y + 36 y^{2}

Factor out common term

9 : 9 (x^{2} + 4 x y + 4 y^{2})

= 9 (x^{2} + 4 x y + 4 y^{2})

Factor

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

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

Apply exponent rule:

aa = a^{2}

(x + 2 y) (x + 2 y) = (x + 2 y)^{2}

= 9 (x + 2 y)^{2}

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What is factor 9x^2+36xy+36y^2 ?
The solution to factor 9x^2+36xy+36y^2 is 9(x+2y)^2