求因式分解 (x+2)^3-1 (3a-b)(x-y)(a+3b)(x-y) (x+2)(x+4)+x^2-4 a^2b
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求因式分解 (x+2)^3-1 (3a-b)(x-y)(a+3b)(x-y) (x+2)(x+4)+x^2-4 a^2b^2+2b-1
(x+2)^3-1
=[﹙x+2﹚-1][﹙x+2﹚²+﹙x+2﹚+1]
=﹙x+2-1﹚﹙x²+4x+4+x+2+1﹚
=﹙x+1﹚﹙x²+5x+7﹚
(3a-b)(x-y)+(a+3b)(x-y) (是这个吗?)
=(x-y)[(3a-b)+(a+3b)]
=(x-y)﹙4a+2b﹚
=2(x-y)﹙2a+b﹚
(x+2)(x+4)+x^2-4
=x²+6x+8+x²-4
=2x²+6x+4
=2﹙x²+3x+2﹚
=2﹙x+1﹚﹙x+2﹚
a^2-b^2+2b-1 (是这个吗?)
=a²-﹙b²-2b+1﹚
=a²-﹙b-1﹚²
=[﹙x+2﹚-1][﹙x+2﹚²+﹙x+2﹚+1]
=﹙x+2-1﹚﹙x²+4x+4+x+2+1﹚
=﹙x+1﹚﹙x²+5x+7﹚
(3a-b)(x-y)+(a+3b)(x-y) (是这个吗?)
=(x-y)[(3a-b)+(a+3b)]
=(x-y)﹙4a+2b﹚
=2(x-y)﹙2a+b﹚
(x+2)(x+4)+x^2-4
=x²+6x+8+x²-4
=2x²+6x+4
=2﹙x²+3x+2﹚
=2﹙x+1﹚﹙x+2﹚
a^2-b^2+2b-1 (是这个吗?)
=a²-﹙b²-2b+1﹚
=a²-﹙b-1﹚²
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