If f(x + ay, x-ay)= axy then f(x,y) is equal to
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Answered by
13
Answer:
f(x,y) = (x^2 – y^2)/4
Step-by-step explanation:
f(x+ay,x-ay) = axy …......(1)
Let x+ay = p & x-ay =q
Solving, we get
x = (p+q)/2 & y = (p-q)/2a
Substitute the values of p & q in (1)
So, f(p,q) = a {(p+q)/2} {(p-q)/2a}
= (p^2 – q^2)/4
Replace p by x & q by y to get
f(x,y) = (x^2 – y^2)/4
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Answer:
Step-by-step explanation:
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