Question : The simplified form of $(x+3)^{2}+(x-1)^{2}$ is:
Option 1: $(x^{2}+2x+5)$
Option 2: $2(x^{2}+2x+5)$
Option 3: $(x^{2}-2x+5)$
Option 4: $2(x^{2}-2x+5)$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $2(x^{2}+2x+5)$
Solution :
$(x+3)^{2} = x^{2} + 6x + 9$
$(x-1)^{2} = x^{2} - 2x + 1$
Adding these two expressions together, we get,
$(x+3)^{2}+(x-1)^{2}$
= $x^{2} + 6x + 9 + x^{2} - 2x + 1$
= $2x^{2} + 4x + 10 $
= $2(x^{2} + 2x + 5)$
Hence, the correct answer is $2(x^{2} + 2x + 5)$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
