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vlada-n [284]
3 years ago
9

What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0
I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

\frac{x + 2}{  {x}^{2}  - 3x - 10  }  \times  \frac{x - 3}{ {x}^{2} + x - 12 }
\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 }  \times  \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }
\frac{x + 2}{x(x + 2) - 5(x + 2)}  \times  \frac{x - 3}{x(x + 4) - 3(x + 4)}
\frac{x + 2}{(x + 2) \times (x - 5)}  \times  \frac{x - 3}{(x + 4) \times (x  - 3)}
\frac{1}{(x + 4) \times (x + 5)}
and basically that's the "answer", but you can simplify more.

\frac{1}{ {x}^{2}  + 4x - 5x - 20}
\frac{1}{ {x}^{2} - x - 20 }
Hope that's helpful
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