SOLUTION: if f(x)=2x show that f (x + 4)-f(x-2)=63/4 if f(x,y) = x4 + 3x2 y2 + y4 show that f (ax,ay)= a4.f(x,y)

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Question 369957: if f(x)=2x
show that f (x + 4)-f(x-2)=63/4
if f(x,y) = x4 + 3x2 y2 + y4
show that f (ax,ay)= a4.f(x,y)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Replace each 'x' with 'ax'. Replace each 'y' with 'ay'


Use the property


Rearrange the terms.


Multiply and to get


Factor out the GCF


Now replace the expression in the parenthesis with (this is possible since )

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