Question

What is the degree of xsquare y square by x square plus y square

Answer 1

Answer:

let x²=a and y²=b

then, x²y²/x²+y² will becomes ab/a+b

now, {(a²+b²+ab)-(a²+b²+ab)+ab}/a+b

={(a+b)²-(a²+b²+ab)}/a+b

=(a+b) - (a²+b²+ab+ab-ab)/a+b

=(a+b) - [{(a+b)²-ab}/a+b]

=(a+b) - (a+b) +ab

=ab which is equal to x²y².

so degree is 2.