What is factor (3b-4)^2-8(3b-4)+16 ?

The solution to factor (3b-4)^2-8(3b-4)+16 is (3b-8)^2

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factor (3b-4)^2-8(3b-4)+16

factor

(3 b - 4)^{2} - 8 (3 b - 4) + 16

(3 b - 8)^{2}

Solution steps

(3 b - 4)^{2} - 8 (3 b - 4) + 16

Rewrite

(3 b - 4)^{2} - 8 (3 b - 4) + 16

(3 b - 4)^{2} - 2 (3 b - 4) \cdot 4 + 4^{2}

= (3 b - 4)^{2} - 2 (3 b - 4) \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

a = (3 b - 4), b = 4

= ((3 b - 4) - 4)^{2}

Refine

= (3 b - 8)^{2}

\frac{x y - y - 2 x + 2}{x - 1}

7 (6^{2} - 286 + 91)

\frac{- 50}{5}

3 x^{2} + 14 - 5

x^{2} + 12 + 32

What is factor (3b-4)^2-8(3b-4)+16 ?
The solution to factor (3b-4)^2-8(3b-4)+16 is (3b-8)^2