Question

Simplify: (3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)

Answer 1

-4xy - 8x + 12y

Answer 2

`-4x^(2) -4xy+6y^(2)`

Explanation:

(3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)

First, we remove the parenthesses. We can just remove the first parnthesses because there isn't any sign before them. When removing the second ones, we will change the sign of every term in it. It becomes:

`3x^(2) -8xy+y^(2) -7x^(2) +4xy+5y^(2)`

Now we will combine the like terms. That means that we will subtract 7x2 from 3x2, add 4x to -8x etc.

`-4x^(2) -4xy+6y^(2)`