Question

simplify using identities x^2-x-12/ 4x+12

Answer 1

Answer:

$\frac{ {x}^{2} - x - 12 }{4x + 12} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \frac{ {x}^{2} + 3x - 4x - 12 }{4( x + 3)} \: \: \: \: \: \: \: \: \\ = \frac{x(x + 3) - 4(x + 3)}{4(x + 3)} \: \: \: \: \: \\ = \frac{(x + 3)(x - 4)}{4(x + 3)} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \frac{(x - 4)}{4} = \frac{1}{4} \times (x - 4)$

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