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Factorize 2y² – 15xy + 18x²

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

QUICK ANSWER…

D

SOLUTION…  

2y² – 15xy + 18x²

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:

2y² – 15xy + 18x²

2y² – (12xy + 3xy) + 18x²

2y² – 12xy – 3xy + 18x²

(2y² – 12xy) – (3xy – 18x²)

2y(y – 6x) – 3x(y – 6x)

= (2y – 3x)(y – 6x)

Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is incorrect.
4. D is the correct answer.

QUICK TIPS…

You may please note these/this:

• Be careful, handle the signs with care.

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