What is factor 121x^2+81y^2-198xy ?

The solution to factor 121x^2+81y^2-198xy is (11x-9y)^2

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factor 121x^2+81y^2-198xy

factor

121 x^{2} + 81 y^{2} - 198 x y

(11 x - 9 y)^{2}

Solution steps

121 x^{2} + 81 y^{2} - 198 x y

Group by common factors

= 121 x^{2} - 198 x y + 81 y^{2}

Rewrite in the form of

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

121 x^{2} = (11 x)^{2}

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

- 198 x y = - 2 \cdot 11 x \cdot 9 y

= (11 x)^{2} - 2 \cdot 11 x \cdot 9 y + (9 y)^{2}

Apply Perfect Square Formula:

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

(11 x)^{2} - 2 \cdot 11 x \cdot 9 y + (9 y)^{2} = (11 x - 9 y)^{2}

= (11 x - 9 y)^{2}

\frac{( y ^{2} - 81 )}{( y ^{2} - 18 y + 81 )}

15 x y + 10 y - 6 x - 4

2 \cdot x^{2} - 2 2 x + 2

(y^{3})^{8}

(\frac{3}{2} \cdot x^{5 n} + \frac{1}{6}) (\frac{3}{2} \cdot x^{5 n} + \frac{3}{5})

What is factor 121x^2+81y^2-198xy ?
The solution to factor 121x^2+81y^2-198xy is (11x-9y)^2