What is factor 4x^2-36xy+81y^2 ?

The solution to factor 4x^2-36xy+81y^2 is (2x-9y)^2

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factor 4x^2-36xy+81y^2

factor

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

(2 x - 9 y)^{2}

Solution steps

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

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

4 x^{2} = (2 x)^{2}

81 y^{2} = (9 y)^{2}

- 36 x y = - 2 \cdot 2 x \cdot 9 y

= (2 x)^{2} - 2 \cdot 2 x \cdot 9 y + (9 y)^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(2 x)^{2} - 2 \cdot 2 x \cdot 9 y + (9 y)^{2} = (2 x - 9 y)^{2}

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

\frac{15 x ^{6} y}{25 x ^{2} y ^{4}}

\frac{4 j ^{7}}{5 ( j ^{2} ) ^{3}}

x^{2} \leq 3 - 2 x

x^{3} y^{3} + 2 x^{3} + 5 x^{2} y^{3} + 10 x^{2}

x^{2} - 2 x = 8

What is factor 4x^2-36xy+81y^2 ?
The solution to factor 4x^2-36xy+81y^2 is (2x-9y)^2