(X2 -y+1)(X2+1)+X2y+y -X2因式分解

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(X2 -y+1)(X2+1)+X2y+y -X2因式分解

(X2 -y+1)(X2+1)+X2y+y -X2因式分解
(X2 -y+1)(X2+1)+X2y+y -X2因式分解

(X2 -y+1)(X2+1)+X2y+y -X2因式分解
(X^2 -y+1)(X^2+1)+X^2y+y -X^2
=(X^2 -y+1)(X^2+1)+(X^2+1)y -X^2
=(X^2 -y+y+1)(X^2+1) -X^2
=(X^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)

原式=(x^2-y+1)(x^2+1)+y(x^2+1)-x^2
=(x^2+1)(x^2-y+1+y)-x^2
=(x^2+1)(x^2+1)-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)

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