Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question perform the operation. $(x^{2}+2x + 5)-(-2x^{2}+6)$

Question

question
perform the operation.
$(x^{2}+2x + 5)-(-2x^{2}+6)$

Explanation:

Step1: Remove parentheses

When we have $-( - 2x^{2}+6)$, we get $2x^{2}-6$. So the expression becomes $x^{2}+2x + 5+2x^{2}-6$.

Step2: Combine like - terms

Combine the $x^{2}$ terms: $x^{2}+2x^{2}=3x^{2}$, and combine the constant terms: $5 - 6=-1$. The $2x$ term remains as it is. So the result is $3x^{2}+2x - 1$.

Answer:

$3x^{2}+2x - 1$