What is factor (b+(b-2x))(b-(b-2x)) ?

The solution to factor (b+(b-2x))(b-(b-2x)) is 4x(b-x)

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factor (b+(b-2x))(b-(b-2x))

factor

(b + (b - 2 x)) (b - (b - 2 x))

4 x (b - x)

Solution steps

(b + (b - 2 x)) (b - (b - 2 x))

Remove parentheses:

(a) = a

= (b + b - 2 x) (b - (b - 2 x))

Add similar elements:

b + b = 2 b

= (- 2 x + 2 b) (b - (- 2 x + b))

Factor

2 b - 2 x : 2 (b - x)

= 2 (b - x) (b - (b - 2 x))

Expand

b - (b - 2 x) : 2 x

= 2 \cdot 2 x (- x + b)

Multiply the numbers:

2 \cdot 2 = 4

= 4 x (- x + b)

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\frac{x ^{2} - 6 x + 8}{x - 4}

6 z^{4} - 4 + 9 (y^{3} + 6)

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

What is factor (b+(b-2x))(b-(b-2x)) ?
The solution to factor (b+(b-2x))(b-(b-2x)) is 4x(b-x)