What is factor 81x^2-72xy+16y^2 ?

The solution to factor 81x^2-72xy+16y^2 is (9x-4y)^2

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factor 81x^2-72xy+16y^2

factor

81 x^{2} - 72 x y + 16 y^{2}

(9 x - 4 y)^{2}

Solution steps

81 x^{2} - 72 x y + 16 y^{2}

Rewrite in the form of

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

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

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

- 72 x y = - 2 \cdot 9 x \cdot 4 y

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

Apply Perfect Square Formula:

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

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

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

- 0.2 (x - 20) = 44 - x

x^{3 - 27}

x^{2} + 9 x - 4 x - 36

\frac{4 - 6 i}{1 - 4 i}

b^{2} - 7 b + 12

What is factor 81x^2-72xy+16y^2 ?
The solution to factor 81x^2-72xy+16y^2 is (9x-4y)^2