Question

How do you simplify `(4x^2y- 3xy^2) - (3x^2y -8xy^2`)?

Answer 1

See the entire simplification process below:

Explanation:

First, remove the individual terms from parenthesis. Be careful to handle the signs of the individual terms correctly:

`4x^2y - 3xy^2 - 3x^2y + 8xy^2`

Next, group like terms:

`4x^2y - 3x^2y - 3xy^2 + 8xy^2`

Now, combine like terms:

`(4 - 3)x^2y + (-3 + 8)xy^2`

`1x^2y + 5xy^2`

`x^2y + 5xy^2`

Or, factoring out an `xy` from each term:

`xy(x + 5y)`

Answer 2

`x^2y+5xy^2`

Explanation:

The first step is to write the expression without brackets.

`rArr1(color(red)(4x^2y)color(blue)(-3xy^2))-1(color(red)(3x^2y)color(blue)(-8xy^2))`

distribute brackets and collect like terms. I have colour-coded the like terms.

`=color(red)(4x^2y)color(blue)(-3xy^2)color(red)(-3x^2y)-(color(blue)(-8xy^2))`

`=color(red)(4x^2y)-color(red)(3x^2y)-color(blue)(3xy^2)+color(blue)(8xy^2)`

`=x^2y+5xy^2`