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Question

If f(x)=12(3x+3x),g(x)=12(3x3x) then f(x)g(y)+f(y)g(x) is equal to
  1. f(x+y)
  2. g(x+y)
  3. 2f(x)
  4. 2g(x)

A
g(x+y)
B
2g(x)
C
f(x+y)
D
2f(x)
Solution
Verified by Toppr

f(x)g(y)=14(3x+3x)(3y3y)

14(3x+y+3yx3xy3xy)

f(y)g(x)=14(3x+y3yx+3xy3xy)

f(x)g(y)+f(y)g(x)=14×2(3x+y3xy)

12(3x+y3(x+y))

g(x+y)

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