arrow
arrow
arrow
2[(620)² + (580)²] - (620 + 580)² = ?
Question

2[(620)² + (580)²] - (620 + 580)² = ?

A.

2400

B.

1200

C.

1400

D.

1600

Correct option is D

Given:
Expression: 2[(620)2+(580)2](620+580)22[(620)^2 + (580)^2] - (620 + 580)^2​​
Formula Used:
2(a2+b2)(a+b)2=(ab)22(a^2 + b^2) - (a + b)^2 = (a - b)^2​​
Solution:
Let a = 620 and b = 580.
The given expression is in the form of 2(a2+b2)(a+b)2.2(a^2 + b^2) - (a + b)^2.​​
2[(620)2+(580)2](620+580)22[(620)^2 + (580)^2] - (620 + 580)^2​​
(620580)2(620 - 580)^2​​
402 40^2​​
= 1600
Final Answer
So the correct answer is (d)

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
    0
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC MTS (Similar PYPs)’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
399k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow