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**Factorize m³ – m² + 2m – 2**

**A.**** (m ^{2} + 1)(m – 2)**

**B.**** (m – 1)(m + 1)(m + 2)**

**C.**** (m – 2)(m + 1)(m – 1)**

**D.**** (m ^{2} + 2)(m – 1)**

**QUICK ANSWER…**

**D**

**DETAILS…**

**Factorization of ****m³ – m² + 2m – 2**** gives (****m ^{2} + 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)**

**= (****m ^{2} + 2)(m – 1**

**)**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is not correct.****C is incorrect.****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 20****21**** JAMB-UTME**** MATHEMATICS**** question**** 31 ****/**