te all answers in standard form.
8. $(4n - 6) - (3n + 2)$
10. $(9c - 2) + (1 - c)$
12. $(v^2 + 7v - 5) - (6v^2 + 4v - 5)$
14. $(4k^2 + 5 - 4k) - (9k - 2 - 5k^2)$
16. $(r^2 - r + 1) + (-3 + 2r + 6r^2)$
18. find the difference of $5k^2 - 7k + 6$ and $3k - 4k^2 + 1$.
20. what is $8x + 11$ less than the product of $-2$ and $x - 7$.

Question

Accepted Answer

### Problem 8: $(4n - 6)-(3n + 2)$
# Explanation:
## Step1: Remove parentheses
$4n - 6 - 3n - 2$
## Step2: Combine like terms
$(4n - 3n)+(-6 - 2)=n - 8$
# Answer: $n - 8$

### Problem 10: $(9c - 2)+(1 - c)$
# Explanation:
## Step1: Remove parentheses
$9c - 2 + 1 - c$
## Step2: Combine like terms
$(9c - c)+(-2 + 1)=8c - 1$
# Answer: $8c - 1$

### Problem 12: $(v^{2}+7v - 5)-(6v^{2}+4v - 5)$
# Explanation:
## Step1: Remove parentheses
$v^{2}+7v - 5 - 6v^{2}-4v + 5$
## Step2: Combine like terms
$(v^{2}-6v^{2})+(7v - 4v)+(-5 + 5)=-5v^{2}+3v$
# Answer: $-5v^{2}+3v$

### Problem 14: $(4k^{2}+5 - 4k)-(9k - 2 - 5k^{2})$
# Explanation:
## Step1: Remove parentheses
$4k^{2}+5 - 4k - 9k + 2 + 5k^{2}$
## Step2: Combine like terms
$(4k^{2}+5k^{2})+(-4k - 9k)+(5 + 2)=9k^{2}-13k + 7$
# Answer: $9k^{2}-13k + 7$

### Problem 16: $(r^{2}-r + 1)+(-3 + 2r + 6r^{2})$
# Explanation:
## Step1: Remove parentheses
$r^{2}-r + 1 - 3 + 2r + 6r^{2}$
## Step2: Combine like terms
$(r^{2}+6r^{2})+(-r + 2r)+(1 - 3)=7r^{2}+r - 2$
# Answer: $7r^{2}+r - 2$

### Problem 18: Find the difference of $5k^{2}-7k + 6$ and $3k - 4k^{2}+1$
# Explanation:
## Step1: Set up the subtraction
$(5k^{2}-7k + 6)-(3k - 4k^{2}+1)$
## Step2: Remove parentheses
$5k^{2}-7k + 6 - 3k + 4k^{2}-1$
## Step3: Combine like terms
$(5k^{2}+4k^{2})+(-7k - 3k)+(6 - 1)=9k^{2}-10k + 5$
# Answer: $9k^{2}-10k + 5$

### Problem 20: What is $8x + 11$ less than the product of $-2$ and $x - 7$
# Explanation:
## Step1: Find the product
$-2(x - 7)=-2x + 14$
## Step2: Subtract $8x + 11$ from the product
$(-2x + 14)-(8x + 11)$
## Step3: Remove parentheses
$-2x + 14 - 8x - 11$
## Step4: Combine like terms
$(-2x - 8x)+(14 - 11)=-10x + 3$
# Answer: $-10x + 3$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 8: \((4n - 6)-(3n + 2)\)

Step1: Remove parentheses

Step2: Combine like terms

Step1: Remove parentheses

Step2: Combine like terms

Step1: Remove parentheses

Step2: Combine like terms

Answer:

Problem 10: \((9c - 2)+(1 - c)\)