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

The given expressions are

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

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\$

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

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

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

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

Combine like terms with s:

20s + 5s = 25s

Constant terms:

-43 - 14 = - 57

Therefore, the simplified expression is:

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

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\$.

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

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

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

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

This matches the simplified result of subtracting the two given expressions

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

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

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

Option

C

Can you summarize what you’ve understood in the above steps?