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Đúng chưa lại bảo sai đi
x2−y2+x−yx2−y2+x−y
=(x2−y2)+(x−y)=(x2−y2)+(x−y)
=(x+y)(x−y)+(x−y)=(x+y)(x−y)+(x−y)
=(x−y)(x+y+1)
a/ x4+4x2−5x4+4x2−5
=(x4+4x2+4)−9=(x4+4x2+4)−9
=(x2+2)2−9=(x2+2)2−9
=(x2+2−3)(x2+2+3)=(x2+2−3)(x2+2+3)
=(x2−1)(x2+5)=(x2−1)(x2+5)
b/ 5x3−5x2y−10x2+10xy5x3−5x2y−10x2+10xy
=(5x3−10x2)−(5x2y−10xy)=(5x3−10x2)−(5x2y−10xy)
=5x2(x−2)−5xy(x−2)=5x2(x−2)−5xy(x−2)
=(x−2)(5x2−5xy)=(x−2)(5x2−5xy)
=(x−2)5x(x−y)