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Popular >

factor b^3-b^2-b+1

Solution

factor

b^{3} - b^{2} - b + 1

Solution

(b - 1)^{2} (b + 1)

Solution steps

b^{3} - b^{2} - b + 1

= (b^{3} - b^{2}) + (- b + 1)

Factor out

b^{2}

from

b^{3} - b^{2} : b^{2} (b - 1)

Factor out

- 1

from

- b + 1 : - (b - 1)

= b^{2} (b - 1) - (b - 1)

Factor out common term

(b - 1) : (b - 1) (b^{2} - 1)

= (b - 1) (b^{2} - 1)

Factor

b^{2} - 1 : (b + 1) (b - 1)

= (b - 1) (b + 1) (b - 1)

Apply exponent rule:

aa = a^{2}

(b - 1) (b - 1) = (b - 1)^{2}

= (b - 1)^{2} (b + 1)

Popular Examples

5x^2(x^2-49)<= 0

5 x^{2} (x^{2} - 49) \leq 0

x^{2} + 4 x + 4 = 6

6x^2-12x-90=152

6 x^{2} - 12 x - 90 = 152

(x+1}{1-x}+\frac{x-1)/x <2

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

2x+5/3 > 2/5 x-1

2 x + \frac{5}{3} > \frac{2}{5} x - 1

Frequently Asked Questions (FAQ)

What is factor b^3-b^2-b+1 ?
The solution to factor b^3-b^2-b+1 is (b-1)^2(b+1)