Magtanong at makakuha ng maliwanag na mga sagot sa IDNStudy.com. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

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


Sagot :

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.

#CarryOnLearning

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]

________

#CarryOnLearning