Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify: $-n^2 - 3 - (-1 - 6n^2)$ a. $5n^2 - 2$ b. $-3n^2 - 2$ c. $-3n…

Question

simplify: $-n^2 - 3 - (-1 - 6n^2)$
a. $5n^2 - 2$
b. $-3n^2 - 2$
c. $-3n^2 + 7$
d. $-3n^2 + 1$
reset selection

Explanation:

Step1: Remove the parentheses

To remove the parentheses, we distribute the negative sign to each term inside the parentheses. So, $-n^2 - 3 - (-1 - 6n^2)$ becomes $-n^2 - 3 + 1 + 6n^2$.

Step2: Combine like terms

First, combine the $n^2$ terms: $-n^2 + 6n^2 = 5n^2$. Then, combine the constant terms: $-3 + 1 = -2$. So we have $5n^2 - 2$.

Answer:

A. $5n^2 - 2$