(y+2)(y-2)(y-1)(y+5)平方差计算过程要详细,尤其是(y-1)(y+5),写清楚为什么会得出那个结果,

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(y+2)(y-2)(y-1)(y+5)平方差计算过程要详细,尤其是(y-1)(y+5),写清楚为什么会得出那个结果,
(y+2)(y-2)(y-1)(y+5)平方差计算过程要详细,尤其是(y-1)(y+5),写清楚为什么会得出那个结果,

(y+2)(y-2)(y-1)(y+5)平方差计算过程要详细,尤其是(y-1)(y+5),写清楚为什么会得出那个结果,
(y+2)(y-2)(y-1)(y+5)
= (y+2)(y-2)(y+2-3)(y+2+3)
= (y^2-4){(y+2)^2-3^2}
= (y^2-4){y^2+4y+4-9}
= (y^2-4){(y^2+4)+4y-9}
= (y^2-4)(y^2+4)+4y (y^2-4)-9(y^2-4)
= y^4-16 +4y^3-16y^2 -9y^2+36
= y^4+4y^3-25y^2+20

(Y-1)*(Y+5)=[(Y+2)-3]*[(Y+2)+3]=(Y+2)^2-3^2