
因式分解x^3+3x^2-4
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解:原式=x³+4x²-x²-4
=﹙x³-x²﹚+﹙4x²-4﹚
=x²﹙x-1﹚+4﹙x²-1﹚
=x²﹙x-1﹚+4﹙x+1﹚﹙x-1﹚
=﹙x-1﹚﹙x²+4x+4﹚
=﹙x-1﹚﹙x+2﹚﹙x+2﹚
=﹙x³-x²﹚+﹙4x²-4﹚
=x²﹙x-1﹚+4﹙x²-1﹚
=x²﹙x-1﹚+4﹙x+1﹚﹙x-1﹚
=﹙x-1﹚﹙x²+4x+4﹚
=﹙x-1﹚﹙x+2﹚﹙x+2﹚
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