Question

How do you combine like terms in `3\frac { 1} { 2} x y ^ { 2} - 2\frac { 4} { 5} x ^ { 2} y - 2\frac { 1} { 2} y ^ { 2} x + 2\frac { 4} { 5} x ^ { 2} y`?

Answer 1

`xy^2`

Explanation:

`3(1/2)xy^2)color(red)ul (-2(4/5)x^2y)-2(1/2)y^2x color(red) ul(+2(4/5)x^2y)`
`=3(1/2)xy^2-2(1/2)y^2x`
`((7xy^2)-(5y^2x))/2=(2xy^2)/2=xy^2`