What is factor (a-3b)^2-6(a-3b)+9 ?

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

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factor (a-3b)^2-6(a-3b)+9

factor

(a - 3 b)^{2} - 6 (a - 3 b) + 9

(a - 3 b - 3)^{2}

Solution steps

(a - 3 b)^{2} - 6 (a - 3 b) + 9

Rewrite

(a - 3 b)^{2} - 6 (a - 3 b) + 9

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

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

Apply Perfect Square Formula:

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

a = (a - 3 b), b = 3

= ((a - 3 b) - 3)^{2}

Refine

= (a - 3 b - 3)^{2}

\frac{x ^{2} - 1}{1 - x}

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

16 am - 12 an - 12 bm + 9 bn

(a \cdot b) + (c \cdot d)

tan (x^{2} - 1)

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