Question

question
subtract $-2x^2 - 2x - 7$ from $2x^2 + 7$.

answer attempt 1 out of 2

Explanation:

Step1: Write the subtraction as an expression

We need to subtract \(-2x^2 - 2x - 7\) from \(2x^2 + 7\), so the expression is \((2x^2 + 7)-(-2x^2 - 2x - 7)\).

Step2: Distribute the negative sign

When we distribute the negative sign to each term inside the parentheses, we get \(2x^2 + 7 + 2x^2 + 2x + 7\).

Step3: Combine like terms

For the \(x^2\) terms: \(2x^2+2x^2 = 4x^2\).
For the \(x\) terms: We have \(2x\) (since there's only one \(x\) term).
For the constant terms: \(7 + 7=14\).
Putting it all together, we get \(4x^2 + 2x + 14\).

Answer:

\(4x^2 + 2x + 14\)