Question : Simplify the given expression.
$(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$
Option 1: $2y(x - 3y)$
Option 2: $2y(x + 3y)$
Option 3: $2x(x - 3y)$
Option 4: $2x(x + 3y)$
Answer (1)
18th Jan, 2024
Correct Answer: $2y(x - 3y)$
Solution :
Given expression,
$(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$
= $xy-3x^2-2y^2+6xy+x^2-y^2+2x^2+xy-6xy-3y^2$
= $2xy-6y^2$
= $2y(x-3y)$
Hence, the correct answer is $2y(x-3y)$
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Result Date:
4 Nov, 2024
- 11 Nov, 2024
Tier II
Admit Card Date:
12 Nov, 2024
- 12 Nov, 2024
Application Date:
5 Nov, 2024
- 20 Nov, 2024
Exam Date:
17 Nov, 2024
- 17 Nov, 2024
Application Date:
18 Oct, 2024
- 22 Nov, 2024
