一些二次根试4xy/根号下2xy当X大于0,Y小于0时,化简根号下Y^3/X^4-Y^5/X^6根号下36/a^2+36/b^2

Question

一些二次根试
4xy/根号下2xy
当X大于0,Y小于0时,化简根号下Y^3/X^4-Y^5/X^6
根号下36/a^2+36/b^2

Answer 1

4xy/根号下2xy =√2xy
当X大于0,Y小于0时,化简根号下Y^3/X^4-Y^5/X^6
Y^3/X^4-Y^5/X^6
=Y^3X^2/X^6-Y^5/X^6
=(Y^3X^2-Y^5)/X^6
=Y^3(X^2-Y^2)/X^6
=Y^3(X+Y)(X-Y)/X^6
根号下36/a^2+36/b^2
=√36*(a^2+b^2)/a^2b^2
=6/ab√(a^2+b^2)