arrow
arrow
arrow
Write the expanded form of (9a+4b+5c)2(9a + 4b + 5c)^2(9a+4b+5c)2​​
Question

Write the expanded form of (9a+4b+5c)2(9a + 4b + 5c)^2​​

A.

81a2+16b2+25c2+72ab+35bc+90ac 81a^2 + 16b^2 + 25c^2 + 72ab + 35bc + 90ac​​

B.

81a2+16b2+25c2+72ab+40bc+100ac81a^2 + 16b^2 + 25c^2 + 72ab + 40bc + 100ac​​

C.

81a2+16b2+25c2+72ab+40bc+90ac 81a^2 + 16b^2 + 25c^2 + 72ab + 40bc + 90ac​​

D.

81a2+16b2+25c2+76ab+40bc+90ac 81a^2 + 16b^2 + 25c^2 + 76ab + 40bc + 90ac​​

Correct option is C

Given: 

(9a+4b+5c)2(9a + 4b + 5c)^2 

Formula Used: 

(a+b+c)2=a2+b2+c2+2ab+2bc+2ac(a + b+c)^2 = a^2 + b^2 +c^2 + 2ab+2bc+2ac  

Solution: 

(9a+4b+5c)2 =(9a)2+(4b)2+(5c)2+2×9a×4b+2×4b×5c+2×5c×9a =81a2+16b2+25c2+72ab+40bc+90ac(9a + 4b + 5c)^2 \\ \ \\ = (9a)^2 + (4b)^2 +(5c)^2 + 2\times 9a \times 4b +2\times 4b \times5c +2\times 5c \times 9a \\ \ \\ = 81a^2+16b^2+25c^2+72ab+40bc+90ac​​

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

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

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

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

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB JE CBT-I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow