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Simplify the following expression:

[tex]\[ 6x^2 - 2y^2 + 4xy - 3xy \][/tex]

Sagot :

GinnyAnsweridn
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.
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