Question

perform the indicated operations.
$(2x^2 - 3x - 53) + (4x^2 + 5x)$

$(2x^2 - 3x - 53) + (4x^2 + 5x) = \square$
(simplify your answer.)

Explanation:

Step1: Remove parentheses

Remove the parentheses from the expression: \(2x^2 - 3x - 53 + 4x^2 + 5x\)

Step2: Combine like terms for \(x^2\) terms

Combine the \(x^2\) terms: \(2x^2 + 4x^2 = 6x^2\)

Step3: Combine like terms for \(x\) terms

Combine the \(x\) terms: \(-3x + 5x = 2x\)

Step4: Combine constant terms

The constant term is \(-53\) (no other constant terms to combine).

Step5: Write the simplified expression

Put the combined terms together: \(6x^2 + 2x - 53\)

Answer:

\(6x^2 + 2x - 53\)