What is factor (x-b)^{30}-2x+2b ?

The solution to factor (x-b)^{30}-2x+2b is (-b+x)((-b+x)^{29}-2)

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factor (x-b)^{30}-2x+2b

factor

(x - b)^{30} - 2 x + 2 b

(- b + x) ((- b + x)^{29} - 2)

Solution steps

(x - b)^{30} - 2 x + 2 b

Factor out common term

2

= (- b + x)^{30} + 2 (- x + b)

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

(- b + x)^{30} = (- b + x) (- b + x)^{29}

= (- b + x) (- b + x)^{29} + 2 (b - x)

Rewrite as

= (- b + x) (- b + x)^{29} - 2 (- b + x)

Factor out common term

(- b + x)

= (- b + x) ((- b + x)^{29} - 2)

1 + (49 (7)^{12})

2 a^{2} - 4 ab + 2

p u n t o (1.2)

20 y 2

What is factor (x-b)^{30}-2x+2b ?
The solution to factor (x-b)^{30}-2x+2b is (-b+x)((-b+x)^{29}-2)