Mathematics
Senior High
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数Ⅰ 展開
途中式の黄色の部分がなぜこのような式になるのか分かりません。どなたか教えてください!!
(4) (x+y+1)(x²-xy+ y²-x-y+1)
=(x+(y+1)}{x²−(y+1)x+(y²−y+1)}
=x³+{(y+1)−(y+1)}x²+{(y²-y+1)-(y+1)}x+(y+1)(y²-y+1)
=x³+(-3y)x+y³+1
=x³+y³-3xy+1
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