Which of the following is equivalent to (8r^(4)+4r^(2)+2r)-(8r^(4)+4r^(2)+1) ? Choose 1 answer: (A) 8r^(2)+2r+1 (B) 8r^(2)+3r (C) 2r-1 (D) r

Subtract Polynomials: Subtract the second polynomial from the first. (8r^(4)+4r^(2)+2r) - (8r^(4)+4r^(2)+1) = 8r^(4) - 8r^(4) + 4r^(2) - 4r^(2) + 2r - 1Combine Like Terms: Combine like terms. 8r^(4) - 8r^(4) = 0 4r^(2) - 4r^(2) = 0 So, the expression simplifies to 2r - 1Check Answer Choices: Check the answer choices to see which one matches the simplified expression. The correct answer is (C) 2r - 1.

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Which of the following is equivalent to
(8r^(4)+4r^(2)+2r)-(8r^(4)+4r^(2)+1) ?
Choose 1 answer:
(A)
8r^(2)+2r+1
(B)
8r^(2)+3r
(C)
2r-1
(D)
r

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

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Calculus

Find derivatives of using multiple formulae

Full solution

Q. Which of the following is equivalent to

\left(8 r^{4}+4 r^{2}+2 r\right)-\left(8 r^{4}+4 r^{2}+1\right)

\newline

Choose

1

answer:

\newline

(A)

8 r^{2}+2 r+1

\newline

(B)

8 r^{2}+3 r

\newline

(C)

2 r-1

\newline

(D)

r

Subtract Polynomials: Subtract the second polynomial from the first. $\newline$ $(8r^{4}+4r^{2}+2r) - (8r^{4}+4r^{2}+1) = 8r^{4} - 8r^{4} + 4r^{2} - 4r^{2} + 2r - 1$
Combine Like Terms: Combine like terms. $\newline$ $8r^{4} - 8r^{4} = 0$ $\newline$ $4r^{2} - 4r^{2} = 0$ $\newline$ So, the expression simplifies to $2r - 1$
Check Answer Choices: Check the answer choices to see which one matches the simplified expression. $\newline$ The correct answer is (C) $2r - 1$ .