Question

Factorice
$( {a}^{2} + 2a)^{2} - 2( {a}^{2} + 2a) - 3$
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Answer 1

Respuesta:

(a+3)(a-1)(a+1)²

Explicación paso a paso:

*se sabe:

(x+y)²=x²+y²+2xy

*factorizando:

=(a²+2a)²-2(a²+2a)-3

(a²+2a) -3=-3(a²+2a)

(a²+2a) +1= (a²+2a)

=(a²+2a-3)(a²+2a+1)

=(a²+2a-3)(a+1)²

a +3

a -1

=(a+3)(a-1)(a+1)²