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

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

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

factor

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

(9 x + 2 y)^{2}

Solution steps

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

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

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

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