2 Answers

# Factorize 2y² – 15xy + 18x²…2015 JAMB-UTME mathematics question 8

Latest posts by Admin (see all)

**Factorize 2y****²**** – 15xy + 18x****²**

**A. (2y + 3x)(y – 6x)****B. (2y – 3x)(y + 6x)****C. (2y + 3x)(y + 6x)****D. (2y – 3x)(y – 6x)**

**QUICK ANSWER…**

**D**

**SOLUTION****… **** **

**2y****²**** – 15xy + 18x****²**

**What are the two numbers that when we multiply them gives 36 (or 2 ****×**** 18), and when we add gives 15.**

**The numbers are 12 and 3, so, we have:**

**2y****²**** – 15xy + 18x****²**

**2y****²**** – (12xy + 3xy) + 18x****²**

**2y****² –**** 12xy – 3xy + 18x****²**

**(2y² – 12xy) – (3xy – 18x²)**

**2y(y – 6x) – 3x(y – 6x)**

**= (2y – 3x)(y – 6x)**

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

**Option A is incorrect.****Option B is incorrect.****C is incorrect.****D is the correct answer.**

**QUICK TIPS…**

**You may please note the****se/this****:**

**Be careful, handle the signs with care.**

I**f you love our answers, you can login to comment and say hi to us at the comment section…**

**To raise new related questions, click the ASK A QUESTION BOTTON down this pag**e!

**/ culled from 2015 JAMB-UTME mathematics past question 8 /**