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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)

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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)