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Factorize m³ – m² + 2m – 2

A. (m² + 1)(m – 2)

B. (m – 1)(m + 1)(m + 2)

C. (m – 2)(m + 1)(m – 1)

D. (m² + 2)(m – 1)

QUICK ANSWER…

D

DETAILS…

Factorization of m³ – m² + 2m – 2 gives (m² + 2)(m – 1).

m³ – m² + 2m – 2

= (m³ – m²) + (2m – 2)

= m²(m – 1) + (2m – 2)

= m²(m – 1) + 2(m – 1)

= (m – 1)(m² + 2)

= (m² + 2)(m – 1)

Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is not correct.
3. C is incorrect.
4. D is the correct answer.

KEY-POINTS…

You may please note these/this:

• You must understand how to collect like terms and how to factor out common terms for you to be able to solve this problem.

If you love our answers, you can simply join our community and also provide answers like this, fellow learners like you will appreciate it.

/ culled from 2021 JAMB-UTME MATHEMATICS question 31 /