If f(2x+3y,2x-3y)=24xy then f(x,y) is
Finding the value of f(x,y) :
Given that f(2x+3y,2x-3y)=24xy
Let 2x+3y=h&2x-3y=k
x=(h+k)4&y=(h-k)6
f(h,k)=24×(h+k)4×(h-k)6
⇒ =(h+k)(h-k)
⇒ f(h,k)=h2-k2
Similarly f(x,y)=x2-y2
Hence, the value of f(x,y) is x2-y2
If 2x×3y×5z=2160,find x,y and z.Hence,compute the valueof 3x×2−y×5−z.
If f(2x+3y,2x-7y)=20x, then f(x,y) equals