Question

9 $(-3m^4 + 3m) - (-7m^4 - 8m)$
10 $(19a^2 - 6a + 12) - (6a^2 - 6a + 7)$
11 $(h^2 - h) + (5h + 6) - (3h^2 + 4h - 9)$
12 $(5n - 3) + (2n^2 - 3n + 12)$
13 $(t^5 + 4t^3 - 2t) + (2t^3 + 6t - 4)$
14 $(4i^2 + 16i - 2) + (9i^2 - 2i + 7)$
15 $(16p^2 - p + 3) - (-3p^2 - p)$
16 $(c^3 - 2c + 1) - (2c^3 + c) + (4c^3 - 6c + 3)$
17 $(11k^3 + 2k) + (-2k^3 - 7k + 14)$
18 $(9w^4 - 3w + 4) - (-3w^4 + 2w^3 + 4w - 10)$

Explanation:

Step1: Remove parentheses, distribute signs

$(-3m^4 + 3m) + 7m^4 + 8m$

Step2: Combine like terms

$(-3m^4 + 7m^4) + (3m + 8m)$
$=4m^4 + 11m$

---

Step1: Remove parentheses, distribute signs

$19u^2 - 6u + 12 - 6u^2 + 6u - 7$

Step2: Combine like terms

$(19u^2 - 6u^2) + (-6u + 6u) + (12 - 7)$
$=13u^2 + 5$

---

Step1: Remove parentheses, distribute signs

$h^2 - h + 5h + 6 - 3h^2 - 4h + 9$

Step2: Combine like terms

$(h^2 - 3h^2) + (-h + 5h - 4h) + (6 + 9)$
$=-2h^2 + 15$

---

Step1: Remove parentheses

$5n - 3 + 2n^2 - 3n + 12$

Step2: Combine like terms

$2n^2 + (5n - 3n) + (-3 + 12)$
$=2n^2 + 2n + 9$

---

Step1: Remove parentheses

$t^5 + 4t^3 - 2t + 2t^3 + 6t - 4$

Step2: Combine like terms

$t^5 + (4t^3 + 2t^3) + (-2t + 6t) - 4$
$=t^5 + 6t^3 + 4t - 4$

---

Step1: Remove parentheses

$4i^2 + 16i - 2 + 9i^2 - 2i + 7$

Step2: Combine like terms

$(4i^2 + 9i^2) + (16i - 2i) + (-2 + 7)$
$=13i^2 + 14i + 5$

---

Step1: Remove parentheses, distribute signs

$16p^2 - p + 3 + 3p^2 + p$

Step2: Combine like terms

$(16p^2 + 3p^2) + (-p + p) + 3$
$=19p^2 + 3$

---

Step1: Remove parentheses, distribute signs

$v^3 - 2v + 1 - 2v^3 - v + 4v^3 - 6v + 3$

Step2: Combine like terms

$(v^3 - 2v^3 + 4v^3) + (-2v - v - 6v) + (1 + 3)$
$=3v^3 - 9v + 4$

---

Step1: Remove parentheses

$11k^2 + 2k - 2k^2 - 7k + 14$

Step2: Combine like terms

$(11k^2 - 2k^2) + (2k - 7k) + 14$
$=9k^2 - 5k + 14$

---

Step1: Remove parentheses, distribute signs

$8w^3 - 3w + 4 + 3w^3 - 9w^2 - 4w + 10$

Step2: Combine like terms

$(8w^3 + 3w^3) - 9w^2 + (-3w - 4w) + (4 + 10)$
$=11w^3 - 9w^2 - 7w + 14$

Answer:

1. $\boldsymbol{4m^4 + 11m}$
2. $\boldsymbol{13u^2 + 5}$
3. $\boldsymbol{-2h^2 + 15}$
4. $\boldsymbol{2n^2 + 2n + 9}$
5. $\boldsymbol{t^5 + 6t^3 + 4t - 4}$
6. $\boldsymbol{13i^2 + 14i + 5}$
7. $\boldsymbol{19p^2 + 3}$
8. $\boldsymbol{3v^3 - 9v + 4}$
9. $\boldsymbol{9k^2 - 5k + 14}$
10. $\boldsymbol{11w^3 - 9w^2 - 7w + 14}$