arrow
arrow
arrow
Simplify: (5x + 11y)² + (5x - 11y)²
Question

Simplify: (5x + 11y)² + (5x - 11y)²

A.

50x² + 242y²

B.

-220xy

C.

50x² - 242y²

D.

220xy

Correct option is A

Given
Expression: (5x+11y)2+(5x11y)2(5x + 11y)^2 + (5x - 11y)^2​​
Formula Used
(a+b)2+(ab)2=2(a2+b2)(a + b)^2 + (a - b)^2 = 2(a^2 + b^2)​​
Solution
Let a = 5x and b = 11y.
Substituting the values into the formula:
2((5x)2+(11y)2)=2(25x2+121y2)=50x2+242y22((5x)^2 + (11y)^2) \\= 2(25x^2 + 121y^2)\\= 50x^2 + 242y^2\\​​
Final Answer
So the correct answer is (a)

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
test-prime-package

Access ‘RRB Group D’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
529k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow