Asked by lexie

What is the simplified form of The quantity x to the fourth power minus 81 divided by the quantity x plus 3 ?
A. x cubed minus 3 times x squared plus 9 times x minus 27
B. the quantity x squared plus 9 times the quantity x squared minus 9
C. x cubed plus 3 times x squared plus 9 times x plus 27
D. x cubed plus 3 times x squared minus 9 times x minus 27

Answers

Answered by Reiny
(x^4 - 81)/(x+3)
= (x^2 + 9)(x^2 - 9)/(x+3)
= (x^2 + 9)(x+3)(x-3)/(x+3)
= (x^2 + 9)(x-3) , x ≠ -3

None of your choices represent the "simplified" form, but once you expand my answer, one of them shows up.
Answered by BenneBoo
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Answered by boom answer
FOR CONECTIONS ACADEMY 6.1 Quick Check: Simplifying Rational Expressions

1- A
2- C
3- D
4- C
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Answered by AYEAYE
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A
C
D
C
C
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Answered by Lover
I love AC/DC the band
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they are correct, thank you
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Answered by Joe Biden
If you are looking for the correct answers for: Unit 6; Lesson 1, Simplifying Radical Expressions, Quick Check, here it is:

1. What is the simplified form of (Image: The quantity x to the fourth power minus 81 divided by the quantity x plus 3)? (1 point)

A. x^3-3x^2+9x-27

2. What is the simplified form of (Image: left parenthesis x squared times yz right parenthesis squared left parenthesis x y squared z squared right parenthesis over left parenthesis xyz right parenthesis squared)? (1 point)

C. x^3y^2z^2

3. What is the excluded value of the rational expression (Image: start fraction 2x plus 6 over 4x minus 8 end fraction)?

D. 2

4. What is the simplified form of (Image: start fraction x squared minus 25 over x squared minus 3x minus 10 end fraction)? (1 point)

C.x-5/x+2

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