What is factor 9x^2-66x+121 ?

The solution to factor 9x^2-66x+121 is (3x-11)^2

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factor 9x^2-66x+121

factor

9 x^{2} - 66 x + 121

(3 x - 11)^{2}

Solution steps

9 x^{2} - 66 x + 121

Rewrite in the form of

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

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

121 = 1 1^{2}

- 66 x = - 2 \cdot 3 x \cdot 11

= (3 x)^{2} - 2 \cdot 3 x \cdot 11 + 1 1^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} - 2 \cdot 3 x \cdot 11 + 1 1^{2} = (3 x - 11)^{2}

= (3 x - 11)^{2}

x^{2} + 7 x - 11 = 0

\frac{2 ( \frac{7}{24} )}{1 - ( \frac{7}{24} ) ^{2}}

(y^{\frac{2}{3}})^{- 9}

- 6 < 3 (x - 3) \leq 9

9 x (x + 6) - (3 x + 1)^{2} = 1