1

Problem

Subtract \$16 (m^3) - 21s^2 + 4(5s) - 43)\$ and \$18s^2 - 3(5m^3) - 5s + 14\$.

2

Step

The given expressions are

\$16 (m^3) - 21s^2 + 4(5s) - 43)\$ and \$18s^2 - 3(5m^3) - 5s + 14\$

3

Step

Simplify the expressions

\$(16m^3 - 21s^2 + 20s - 43)\$ - \$(18s^2 - 15m^3 - 5s + 14)\$

\$16m^3 - 21s^2 + 20s -43 - 18s^2 + 15m^3 + 5s -14\$

4

Step

Combine like terms with \$m^3\$:

\$16m^3 + 15m^3 = 31m^3\$

5

Step

Combine like terms with \$s^2\$:

\$- 21s^2 - 18s^2 = - 39s^2\$

6

Step

Combine like terms with s:

20s + 5s = 25s

7

Step

Constant terms:

-43 - 14 = - 57

8

Step

Therefore, the simplified expression is:

\$31m^3 - 39s^2 + 25s - 57\$

9

Solution

So, \$31m^3 - 39s^2 + 25s - 57\$ is the simplified form of \$16 (m^3) - 21s^2 + 4(5s) - 43)\$ and \$18s^2 - 3(5m^3) - 5s + 14\$.

10

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

11

Choice-A

Wrong because it doesn’t match the signs of the terms (positive instead of negative for \$−3s^2\$, 15s, and −29)

Wrong \$31m^3 + 39s^2 + 25s - 57\$

12

Choice-B

This option is wrong because all terms are negative, which doesn’t match our simplified expression

Wrong \$-31m^3 - 39s^2 - 25s - 57\$

13

Choice-C

This matches the simplified result of subtracting the two given expressions

Correct \$31m^3 - 39s^2 + 25s - 57\$

14

Choice-D

Option D is incorrect because it has + 57 instead of −57

Wrong \$31m^3 - 39s^2 + 25s + 57\$

15

Step

Option

C

16

Sumup

Please Summarize Choices