What is factor 36x^2-108xy+81y^2 ?

The solution to factor 36x^2-108xy+81y^2 is 9(2x-3y)^2

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factor 36x^2-108xy+81y^2

factor

36 x^{2} - 108 x y + 81 y^{2}

9 (2 x - 3 y)^{2}

Solution steps

36 x^{2} - 108 x y + 81 y^{2}

Factor out common term

9 : 9 (4 x^{2} - 12 x y + 9 y^{2})

= 9 (4 x^{2} - 12 x y + 9 y^{2})

Factor

4 x^{2} - 12 x y + 9 y^{2} : (2 x - 3 y) (2 x - 3 y)

= 9 (2 x - 3 y) (2 x - 3 y)

Apply exponent rule:

aa = a^{2}

(2 x - 3 y) (2 x - 3 y) = (2 x - 3 y)^{2}

= 9 (2 x - 3 y)^{2}

(1 + x)^{- 4}

\frac{1}{sin ^{2} ( x ) - 1}

15 (a - b + c)^{2} + (b - c + a)^{2} + 2 (a - b + c) (b - c + a)

\frac{( x ) 1}{( lo g _{x} ( 7 ) )}

(z^{2})^{- 1} 0

What is factor 36x^2-108xy+81y^2 ?
The solution to factor 36x^2-108xy+81y^2 is 9(2x-3y)^2