Question

perform the indicated operation by removing the parentheses and combining like terms.

\\(-3x^2 - 9) + (7x^2 + 3)\\

Explanation:

Identify the given expression

We are given the following polynomial addition problem:

$$ (-3x^2 - 9) + (7x^2 + 3) $$

Our goal is to perform the operation by removing parentheses and combining like terms.

Remove the parentheses

Using the Polynomial Addition concept, we can remove the parentheses because the operation between the two polynomials is addition.

$$ -3x^2 - 9 + 7x^2 + 3 $$

Group the like terms

Using the Polynomial Simplification concept, we group terms with the same variable and exponent:

$$ (-3x^2 + 7x^2) + (-9 + 3) $$

Combine the coefficients

We combine the coefficients of the \(x^2\) terms and the constant terms:

$$ (-3 + 7)x^2 + (-9 + 3) $$

$$ 4x^2 - 6 $$

Answer:

Perform the indicated operation by removing the parentheses and combining like terms.

$$ (-3x^2 - 9) + (7x^2 + 3) = $$

<blank>\(4x^2 - 6\)</blank>