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Popular >

factor m^3-m^2-m+1

Solution

factor

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

Solution

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

Solution steps

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

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

Factor out

m^{2}

from

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

Factor out

- 1

from

- m + 1 : - (m - 1)

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

Factor out common term

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

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

Factor

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

= (m - 1) (m + 1) (m - 1)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

(5(4)^2)/((4)^2-4)

\frac{5 ( 4 ) ^{2}}{( 4 ) ^{2} - 4}

\frac{1}{x - 6} + 1 \geq 0

n+12.083=28.783

n + 12.083 = 28.783

x + 4 < 10

factor 36a^4b^2-49a^2b^4 factor

36 a^{4} b^{2} - 49 a^{2} b^{4}

Frequently Asked Questions (FAQ)

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