Certainly! Let's simplify the expression step by step:
Given expression:
[tex]\[ 6x^2 - 2y^2 + 4xy - 3xy \][/tex]
1. Identify and group like terms:
- The terms [tex]\(6x^2\)[/tex] and [tex]\(-2y^2\)[/tex] are distinct and cannot be combined with any other term.
- The terms [tex]\(4xy\)[/tex] and [tex]\(-3xy\)[/tex] both involve the product [tex]\(xy\)[/tex].
2. Combine the like terms:
For the terms involving [tex]\(xy\)[/tex]:
[tex]\[ 4xy - 3xy = (4 - 3)xy = 1xy \][/tex]
3. Write down the simplified expression:
Combine all the terms we have:
[tex]\[ 6x^2 - 2y^2 + 1xy \][/tex]
So, the simplified expression is:
[tex]\[ 6x^2 - 2y^2 + xy \][/tex]
This is the final simplified form of the given expression.
