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vekshin1
2 years ago
12

What is the simplest form of x^2+5X-36/x^2-16 X+9/X+4 9/4 X+9/X-4 -9/4

Mathematics
1 answer:
Digiron [165]2 years ago
7 0

Answer:

\frac{ {x}  + 9}{x - 4}

Step-by-step explanation:

\frac{ {x}^{2}  + 5x - 36}{ {x}^{2}  - 16}  \\  \\  = \frac{ {x}^{2}  + 9x  - 4x- 36}{ {x}^{2}  -  {(4)}^{2} } \\  \\  = \frac{ x({x}  + 9)  - 4(x + 9)}{ (x + 4)(x - 4) }  \\  \\  = \frac{ ({x}  + 9) \cancel{(x  - 4)}}{  \cancel{(x + 4)}(x - 4) } \\  \\  = \frac{ {x}  + 9}{x - 4}

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