2x²+7x-43x²+5x-2

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2x²+7x-43x²+5x-2
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2x²+7x-43x²+5x-2
2x²+7x-4
3x²+5x-2

2x²+7x-43x²+5x-2
﹙1﹚2x²+7x-4
=2﹙x²+7/2x﹚-4
=2﹙x+7/4﹚²-81/8
=1/8[16﹙x+7/4﹚²-81]
=1/8[﹙4x+7﹚²-9²]
=1/8﹙4x+7-9﹚﹙4x+7+9﹚
=1/8﹙4x-2﹚﹙4x+16﹚
=﹙2x-1﹚﹙x+4﹚;
﹙2﹚3x²+5x-2
=3﹙x²+5/3x﹚-2
=3﹙x+5/6﹚²-49/12
=1/12×[36﹙x+5/6﹚²-49]
=1/12[﹙6x+5﹚²-7²]
=1/12﹙6x-2﹚﹙6x+12﹚
=﹙3x-1﹚﹙x+2﹚.