Question

If f(x + ay, x-ay)= axy then f(x,y) is equal to

Answer 1

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 2

Answer:

$( {x}^{2} - y {}^{2} ) \div 4$

Step-by-step explanation:

See the attachment.

I hope you are satisfied by my answer.