What is factor a^2-6ab+9b^2 ?

The solution to factor a^2-6ab+9b^2 is (a-3b)^2

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factor a^2-6ab+9b^2

factor

a^{2} - 6 ab + 9 b^{2}

(a - 3 b)^{2}

Solution steps

a^{2} - 6 ab + 9 b^{2}

Rewrite in the form of

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

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

- 6 ab = - 2 a \cdot 3 b

= a^{2} - 2 a \cdot 3 b + (3 b)^{2}

Apply Perfect Square Formula:

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

a^{2} - 2 a \cdot 3 b + (3 b)^{2} = (a - 3 b)^{2}

= (a - 3 b)^{2}

\frac{7}{5}

k^{3} + 2 k^{2} - 7 k - 14

\frac{a}{b} - \frac{c}{d}

X^{2} = 0

(27 a^{6})^{- \frac{2}{3}}