(x^2+3x^)^2-(2x+6)^2因式分解

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(x^2+3x^)^2-(2x+6)^2因式分解(x^2+3x^)^2-(2x+6)^2因式分解(x^2+3x^)^2-(2x+6)^2因式分解(x^2+3x)^2-(2x+6)^2=(x^2+3x+

(x^2+3x^)^2-(2x+6)^2因式分解
(x^2+3x^)^2-(2x+6)^2因式分解

(x^2+3x^)^2-(2x+6)^2因式分解
(x^2+3x)^2-(2x+6)^2
=(x^2+3x+2x+6)(x^2+3x-2x-6)
=(x^2+5x+6)(x^2+x-6)
=(x+2)(x+3)(x-2)(x+3)
=(x+2)(x-2)(x+3)^2

(x^2+3x)^2-(2x+6)^2
=(x^2+3x)^2-4(x+3)^2
=[(x^2+3x)-2(x+3)][(x^2+3x)+2(x+3)]
=(x^2+x-6)(x^2+5x+6)
=(x+3)(x-2)(x+2)(x+3)
=(x+3)^2(x-2)(x+2)

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