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分解因式:y(y+1)(x²+1)+x(2y²+2y+1)
人气:255 ℃ 时间:2020-02-05 15:10:27
解答
y(y+1)(x²+1)+x(2y²+2y+1)
=y(y+1)x²+(2y²+2y+1)x+y(y+1)
=(yx+y+1)[(y+1)x+y]
=(xy+y+1)(xy+x+y)能问一下是怎么十字相乘的吗把x²的系数y(y+1)分解为y,(y+1)
y (y+1)
(y+1) y
y•y+(y+1)•(y+1)=(2y²+2y+1)(x项的系数)
∴原式=[yx+(y+1)]•[(y+1)x+y]
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