Which of the following expressions is equivalent to (3c-4c^(2)+c^(3))-(5c^(2)+8c^(3)-6c) ? Choose 1 answer: (A) 7c^(3)+9c^(2)-3c (B) 7c^(3)+c^(2)-3c (C) -7c^(3)+c^(2)+9c (D) -7c^(3)-9c^(2)+9c

Subtract and Combine Terms: Subtract the second polynomial from the first polynomial by changing the signs of the second polynomial and combining like terms. (3c - 4c^2 + c^3) - (5c^2 + 8c^3 - 6c) becomes (3c - 4c^2 + c^3) - 5c^2 - 8c^3 + 6c.Combine Like Terms: Combine like terms by adding or subtracting the coefficients of the same powers of c. For c^3 terms: c^3 - 8c^3 = -7c^3. For c^2 terms: -4c^2 - 5c^2 = -9c^2. For c terms: 3c + 6c = 9c.Write Resulting Polynomial: Write down the resulting polynomial after combining like terms. The result is -7c^3 - 9c^2 + 9c.

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Which of the following expressions is equivalent to
(3c-4c^(2)+c^(3))-(5c^(2)+8c^(3)-6c) ?
Choose 1 answer:
(A)
7c^(3)+9c^(2)-3c
(B)
7c^(3)+c^(2)-3c
(C)
-7c^(3)+c^(2)+9c
(D)
-7c^(3)-9c^(2)+9c

Which of the following expressions is equivalent to $\left(3 c-4 c^{2}+c^{3}\right)-\left(5 c^{2}+8 c^{3}-6 c\right)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $7 c^{3}+9 c^{2}-3 c$ $\newline$ (B) $7 c^{3}+c^{2}-3 c$ $\newline$ (C) $-7 c^{3}+c^{2}+9 c$ $\newline$ (D) $-7 c^{3}-9 c^{2}+9 c$

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Calculus

Find derivatives of using multiple formulae

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Q. Which of the following expressions is equivalent to

\left(3 c-4 c^{2}+c^{3}\right)-\left(5 c^{2}+8 c^{3}-6 c\right)

\newline

Choose

1

answer:

\newline

(A)

7 c^{3}+9 c^{2}-3 c

\newline

(B)

7 c^{3}+c^{2}-3 c

\newline

(C)

-7 c^{3}+c^{2}+9 c

\newline

(D)

-7 c^{3}-9 c^{2}+9 c

Subtract and Combine Terms: Subtract the second polynomial from the first polynomial by changing the signs of the second polynomial and combining like terms. $\newline$ $(3c - 4c^2 + c^3) - (5c^2 + 8c^3 - 6c)$ becomes $(3c - 4c^2 + c^3) - 5c^2 - 8c^3 + 6c$ .
Combine Like Terms: Combine like terms by adding or subtracting the coefficients of the same powers of $c$ . For $c^3$ terms: $c^3 - 8c^3 = -7c^3$ . For $c^2$ terms: $-4c^2 - 5c^2 = -9c^2$ . For $c$ terms: $3c + 6c = 9c$ .
Write Resulting Polynomial: Write down the resulting polynomial after combining like terms. $\newline$ The result is $-7c^3 - 9c^2 + 9c$ .