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Question

The value of (5x3y)2(5x+3y)2, when x=1 and y=125 is
  1. 12
  2. 115
  3. 10
  4. 30

A
115
B
12
C
30
D
10
Solution
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We know, (ab)2(a+b)2=(a22ab+b2)(a2+2ab+b2)
(ab)2(a+b)2=4ab
On putting a=5x and b=3y, we get
(5x3y)2(5x+3y)2=4(5x)(3y)=60xy
When x=1 and y=125=15
(5x3y)2(5x+3y)2=60(1)(15)=12

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