Directions: Find each sum or difference. $$ \begin{array}{ll} ext { 13. }(x+5)+(4 x-7) & ext { 14. }\left(k^{2}-4 k+7 ight)+\left(k^{2}+9 k-3 ight) \ ext { 15. }\left(w^{3}-2 w^{2}-5 ight)+\left(3 w^{2}-11 ight) & ext { 16. }(9 x-5 y)+(3 x+2 y-7)\end{array} $$

Question

Directions: Find each sum or difference. $$ \begin{array}{ll}	ext { 13. }(x+5)+(4 x-7) & 	ext { 14. }\left(k^{2}-4 k+7ight)+\left(k^{2}+9 k-3ight) \ 	ext { 15. }\left(w^{3}-2 w^{2}-5ight)+\left(3 w^{2}-11ight) & 	ext { 16. }(9 x-5 y)+(3 x+2 y-7)\end{array} $$

UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Solution:
  $$\left(9x-5y\right)+\left(3x+2y-7\right)$$
- step1: Remove the parentheses:
  $$9x-5y+3x+2y-7$$
- step2: Add the terms:
  $$12x-3y-7$$
Calculate or simplify the expression $$ (x+5)+(4*x-7) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(x+5\right)+\left(4x-7\right)$$
- step1: Remove the parentheses:
  $$x+5+4x-7$$
- step2: Add the terms:
  $$5x-2$$
Calculate or simplify the expression $$ (k^2-4*k+7)+(k^2+9*k-3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(k^{2}-4k+7\right)+\left(k^{2}+9k-3\right)$$
- step1: Remove the parentheses:
  $$k^{2}-4k+7+k^{2}+9k-3$$
- step2: Add the terms:
  $$2k^{2}+5k+4$$
Calculate or simplify the expression $$ (w^3-2*w^2-5)+(3*w^2-11) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(w^{3}-2w^{2}-5\right)+\left(3w^{2}-11\right)$$
- step1: Remove the parentheses:
  $$w^{3}-2w^{2}-5+3w^{2}-11$$
- step2: Add the terms:
  $$w^{3}+w^{2}-16$$
Here are the results for each expression:

13. For $$ (x+5)+(4x-7) $$:
   $$
   (x + 5) + (4x - 7) = x + 5 + 4x - 7 = 5x - 2
   $$

14. For $$ \left(k^{2}-4k+7\right)+\left(k^{2}+9k-3\right) $$:
   $$
   (k^2 - 4k + 7) + (k^2 + 9k - 3) = k^2 - 4k + 7 + k^2 + 9k - 3 = 2k^{2} + 5k + 4
   $$

15. For $$ \left(w^{3}-2w^{2}-5\right)+\left(3w^{2}-11\right) $$:
   $$
   (w^3 - 2w^2 - 5) + (3w^2 - 11) = w^3 - 2w^2 - 5 + 3w^2 - 11 = w^{3} + w^{2} - 16
   $$

16. For $$ (9x-5y)+(3x+2y-7) $$:
   $$
   (9x - 5y) + (3x + 2y - 7) = 9x - 5y + 3x + 2y - 7 = 12x - 3y - 7
   $$

In summary, the simplified results are:
- 13: $$ 5x - 2 $$
- 14: $$ 2k^{2} + 5k + 4 $$
- 15: $$ w^{3} + w^{2} - 16 $$
- 16: $$ 12x - 3y - 7 $$
13. $$ 5x - 2 $$ 14. $$ 2k^{2} + 5k + 4 $$ 15. $$ w^{3} + w^{2} - 16 $$ 16. $$ 12x - 3y - 7 $$

Directions: Find each sum or difference. \( \begin{array}{ll}\text { 13. }(x+5)+(4 x-7) & \text { 14. }\left(k^{2}-4 k+7\right)+\left(k^{2}+9 k-3\right) \\ \text { 15. }\left(w^{3}-2 w^{2}-5\right)+\left(3 w^{2}-11\right) & \text { 16. }(9 x-5 y)+(3 x+2 y-7)\end{array} \)

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