Ziannblessvaldezidn
Answered

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what is the simplest form of x²-1/x³-1?
with solutions​

Sagot :

Nyle07idn

The answer is x + 1/ x² + x +1.

Step-by-step explanation:

x²-1/ x³-1

  • Factor the expressions that are not yet already factored in.

x²-1

  • Factor it using the rule for the difference of two squares.

x³-1

  • Factor it using the rule for the cube of binomial.

(x - 1) (x + 1) / (x -1) x² + x +1

  • Cancel out (x -1) in both numerator and denominator.

Final Answer:

  • x + 1/ x² + x +1

- I hope this can help you a lot.

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Jahcxxchanidn

x² – 1 / x³ – 1

ANSWER:

[tex]\red{\boxed{\frac{x+1}{x²+x+1}}}[/tex]

SOLUTION:

[tex] \frac{(x + 1)(x - 1)}{(x - 1)({x}^{2} + x + 1 )} [/tex]

Cancel (x – 1) from both numerator and denominator.

[tex] \frac{(x + 1)}{( {x}^{2} + x + 1) } [/tex]

Remove parenthesis.

ANSWER: [tex]\red{\boxed{\frac{x+1}{x²+x+1}}}[/tex]

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