Question

what is the simplest form of x ² + 3x -10/x ²-4x+4?

A.x-5/x-2
B.x+5/x-2
C.x+5/x+2
D.x-5/x+2

Answer 1

Step-by-step explanation:

$\frac{ {x}^{2} + 3x - 10 }{ {x}^{2} - 4x + 4 }$

$= \frac{ {x}^{2} + 5x - 2x - 10}{ {x}^{2} - 2x - 2x + 4}$

$= \frac{x(x + 5) - 2(x +5) }{x(x - 2) - 2(x - 2)}$

$= \frac{(x + 5)(x - 2)}{(x - 2)(x - 2)}$

$= \frac{x + 5}{x - 2}$

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