Question

question
combine like terms.
$7 - 7 + 5x - 5x + 2 + 2x^2 + 2x$

Explanation:

Step1: Combine constant terms

First, combine the constant terms (terms without variables or variable with exponent 0). The constant terms are \(7\), \(-7\), and \(2\).
\[7 - 7 + 2 = (7 - 7) + 2 = 0 + 2 = 2\]

Step2: Combine \(x\) terms

Next, combine the terms with \(x\) (degree 1). The \(x\) terms are \(5x\), \(-5x\), and \(2x\).
\[5x - 5x + 2x = (5x - 5x) + 2x = 0 + 2x = 2x\]

Step3: Identify the \(x^2\) term

The term with \(x^2\) is \(2x^2\), and there are no other \(x^2\) terms to combine with it, so it remains as \(2x^2\).

Step4: Combine all results

Now, combine the results from the previous steps: the constant term \(2\), the \(x\) term \(2x\), and the \(x^2\) term \(2x^2\).
\[2x^2 + 2x + 2\]

Answer:

\(2x^2 + 2x + 2\)