Question

Simplifying a sum or difference of multiviv nplify. (3x^(3)y^(2)+x^(2)y^(2)-6)-(4x^(2)y^(3)-2)

Answer 1

The simplified expression for (3x³y² + x²y² - 6) - (4x²y³ - 2) is 3x³y² - 4x²y³ + x²y² + 4.

Step-by-step explanation:

To simplify the given expression, we'll combine like terms and perform the indicated operations. Starting with the subtraction inside the parentheses, distribute the negative sign to each term in the second polynomial:

`\[3x^3y^2 + x^2y^2 - 6 - 4x^2y^3 + 2.\]`

Now, combine like terms. Group the terms with the same powers of x and y:

`\[3x^3y^2 - 4x^2y^3 + x^2y^2 - 4.\]`

The simplified form of the expression is 3x³y² - 4x²y³ + x²y² - 4. This means that there are no like terms that can be further combined, and the expression is in its simplest form.

In summary, we started by distributing the negative sign to each term in the second polynomial, then combined like terms to arrive at the final simplified expression, which is 3x³y² - 4x²y³ + x²y² - 4.