Mathematics: Which of the following expressions is this one equivalent to? (x^4+2x^3-x-2)÷(x^3-1) a. 2x-5- (3/x^3-1) b. x^2+x+1 c. x+2 d. x^2+3x+2

Which of the following expressions is this one

Ответ:

Brendah7145

17.01.2022

The answer is C. x+2.

$\frac{ x^{4} +2 x^{3}-x-2 }{x^{3} -1}$

Rearrange it:
$\frac{ x^{4} +2 x^{3}-x-2 }{x^{3} -1}=\frac{ x^{4} -x+2 x^{3}-2 }{x^{3} -1} =\frac{ x*x^{3} -x*1+2*x^{3}-2*1 }{x^{3} -1}= \frac{x( x^{3}-1)+2(x^{3}-1) }{x^{3}-1} = \\ 
= \frac{(x^{3}-1)(x+2)}{x^{3}-1}$

x³ - 1 can be cancelled out:
$\frac{(x^{3}-1)(x+2)}{x^{3}-1} = x+2$

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Ответ:

keem3247

22.11.2020

Mathematics

Step-by-step explanation:

First divide 3/5 by 35

Then take your answer from that and multiply by 60

Lastly you have your answer

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Which of the following expressions is this one equivalent to?
(x^4+2x^3-x-2)÷(x^3-1)

a. 2x-5- (3/x^3-1)
b. x^2+x+1
c. x+2
d. x^2+3x+2

Ответ:

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