因式分解:(1)x3n+1•yn-1+2x2n+1•y2n-1+xn+1•y3n-1(2)xm+3-2xm+2•y+xm
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因式分解:
(1)x3n+1•yn-1+2x2n+1•y2n-1+xn+1•y3n-1
(2)xm+3-2xm+2•y+xm+1•y2.
(1)x3n+1•yn-1+2x2n+1•y2n-1+xn+1•y3n-1
(2)xm+3-2xm+2•y+xm+1•y2.
(1)x3n+1•yn-1+2x2n+1•y2n-1+xn+1•y3n-1
=xn+1•yn-1(x2n+2xnyn+y2n)
=xn+1•yn-1(xn+yn)2;
(2)xm+3-2xm+2•y+xm+1•y2
=xm+1(x2-2x•y+y2)
=xm+1(x-y)2.
=xn+1•yn-1(x2n+2xnyn+y2n)
=xn+1•yn-1(xn+yn)2;
(2)xm+3-2xm+2•y+xm+1•y2
=xm+1(x2-2x•y+y2)
=xm+1(x-y)2.
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