Question

xy(x/y+y/x)

Answer 1

What are we doing with this?

Answer 2

simplify

Answer 3

multiply top and bottom by xy

Answer 4

k

Answer 5

i may have read it wrong. is it just
\[xy(\frac{x}{y}+\frac{y}{x})\]

Answer 6

if it is answer is
\[x^2+y^2\]

Answer 7

ur right

Answer 8

i guess

Answer 9

but how?

Answer 10

thats wat i wanted to know

Answer 11

distributive law
\[xy\times \frac{x}{y}=\frac{xyx}{y}=x^2\]

Answer 12

since multiplying means multiply in the numerator, and the y in the numerator cancels with the y in the denominator

Answer 13

likewise
\[xy\times \frac{y}{x}=\frac{xyy}{x}=y^2\]

Answer 14

thx