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Question 14 of 24
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Question 1-14
Look at the expression.

(8x^(5)+3x+10)-(3x^(5)+4-2x)
Which expression is equivalent to the expression shown?

5x^(5)+11 x

21x^(5)-5x

5x^(5)+5x+6

5x^(5)+5x+5

Question $14$ of $24$ $\newline$ Submit Test $\newline$ Question $1$ $-14$ $\newline$ Look at the expression. $\newline$ $\left(8 x^{5}+3 x+10\right)-\left(3 x^{5}+4-2 x\right)$ $\newline$ Which expression is equivalent to the expression shown? $\newline$ $5 x^{5}+11 x$ $\newline$ $21 x^{5}-5 x$ $\newline$ $5 x^{5}+5 x+6$ $\newline$ $5 x^{5}+5 x+5$

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Find derivatives of inverse trigonometric functions

Full solution

Q. Question

14

of

24

\newline

Submit Test

\newline

Question

1

-14

\newline

Look at the expression.

\newline

\left(8 x^{5}+3 x+10\right)-\left(3 x^{5}+4-2 x\right)

\newline

Which expression is equivalent to the expression shown?

\newline

5 x^{5}+11 x

\newline

21 x^{5}-5 x

\newline

5 x^{5}+5 x+6

\newline

5 x^{5}+5 x+5

Subtract and Distribute: step_1: Subtract the second polynomial from the first polynomial. $\newline$ To do this, distribute the negative sign through the second polynomial and combine like terms. $\newline$ $(8x^{5}+3x+10) - (3x^{5}+4-2x) = 8x^{5}+3x+10 - 3x^{5} - 4 + 2x$
Combine Like Terms: step_2: Combine like terms. $\newline$ Combine the $x^{5}$ terms: $8x^{5} - 3x^{5} = 5x^{5}$ $\newline$ Combine the $x$ terms: $3x + 2x = 5x$ $\newline$ Combine the constant terms: $10 - 4 = 6$ $\newline$ So, the equivalent expression is $5x^{5} + 5x + 6$ .

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