（X+2）（X+4）（X+6）（X+8）+16=(x+5-3)(x+5-1)(x+5+1)(x+5+3) + 16= {(x+5)^2-3^2}{(x+5)^2-1^2} + 16= (x+5)^2-10(x+5)+9+16= (x+5)^2-10(x+5)+25= (x+5-5)^2= x^2,得证2x2+26xy-60y2（X+2）（X+4）（X+6）（X+8）+16=(x+5-3)(x+5-1)(x+5+1)(x+5+3) + 16= {(x+5)^2-3^2}{(x+5)^2-1^2} + 16= (x+5)^4-10(x+5)^2+9+16= (x+5)^4-10(x+5)^2+25= {(x+5)^2-5}^2得证。2x2+26xy-60y2= 2{x^2+13x-30y^2}= 2(x+15y)(x-2y)x2(x+y)+x(y2+1)(x+y)+y2x2(x+y)+x(y2+1)(x+y)+y2？这个想干什么？你确定没有写错吗先采纳了再说~a2+4b2-4ab-4b+2a+1=a^2-4ab+4b^2+2a-4b+1= (a-2b)^2 + 2(a-2b) + 1= (a-2b+1)^2