Question

Pregunta 1
Factoriza el el trinomio (x + y)2 - 2(x + y) - 24.

Answer 1

Respuesta:

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Explicación paso a paso:

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Answer 2

Respuesta:

$(x+y)^2-2(x+y)-24$  =  $(x+y-6)(x+y+4)$

Explicación paso a paso:

$(x+y)^2-2(x+y)-24$

Sea x + y = u

$u^2-2u-24 = 0\\\\u = \frac{2+\sqrt{4-4(-24)} }{2} = \frac{2+\sqrt{100} }{2} = \frac{2+10}{2} = 6 \\u = \frac{2-\sqrt{4-4(-24)} }{2} = \frac{2-\sqrt{100} }{2} = \frac{2-10}{2} = -4\\\\u^2-2u-24 = (u-6)(u+4)$

Sustituir u:

$(x+y-6)(x+y+4)$