1、bca^2+ac^2+acd-abd-cd-d^2
=ac^2+acd-(cd+d^2 )+bca^2-abd
=ac(c+d)-d(c+d)+ab(ac-d)
=(ac-d)(c+d)+ab(ac-d)
=(ac-d)(c+d+ab)
2、x^2+2(a+b)x-3a^2+10ab-3b^2
=x^2+2(a+b)x-(3a^2-10ab+3b^2)
=x^2+2(a+b)x-(3a-b)(a-3b)
=(x+3a-b)(x-a+3b)
3、(x+y)(x+2y)(x+3y)(x+4y)+y^4
=[(x+y)(x+4y)][(x+2y)(x+3y)]+y^4
=(x^2+5xy+4y^2)(x^2+5xy+6y^2)+y^4
=(x^2+5xy)^2+10y^2(x^2+5xy)+24y^4+y^4
=(x^2+5xy)^2+10y^2(x^2+5xy)+25y^4
=(x^2+5xy+5y^2)^2
由于x,y为整数,所以原式为完全平方数
p
你都9级了,给10分。
……
1.(ac-d)(ab+c+d)
2(x+3a-b)(x-a+3b)
3对不起,不会了