(x^3-1)/(x^2+1)div (9x^2+9)/(x^2-x)=

Karsyn Beltran 2022-07-27 Answered
x 3 1 x 2 + 1 ÷ 9 x 2 + 9 x 2 x =
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Answers (1)

Kitamiliseakekw
Answered 2022-07-28 Author has 23 answers
To divide rational expressions, we use the following property offractions:
A B ÷ C D = A B D C (Note: this is also called inverting andmultiplying).
So, x 3 1 x 2 + 1 ÷ 9 x 2 + 9 x 2 x = x 3 1 x 2 + 1 x 2 x 9 x 2 + 9
= ( x 1 ) ( x 2 + x + 1 ) x 2 + 1 x ( x 1 ) 9 ( x 2 + 1 ) Factor what you can here.
= x ( x 1 ) 2 ( x 2 + x + 1 ) 9 ( x 2 + 1 ) 2

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