因式分解((c)表示c次方)

因式分解((c)表示c次方)
1 x(2)y(2)-4xy-x(2)-y(2)+1
=(x^2y^2-2xy+1)-(x^2+2xy+y^2)
=(xy-1)^2-(x+y)^2
=(xy-1+x+y)(xy-1-x-y)

2 x(2)-8ax-40ab-25b(2)
=(x^2-8ax+16a^2)-(16a^2+40ab+25b^2)
=(x-4a)^2-(4a+5b)^2
=(x-4a+4a+5b)(x-4a-4a-5b)
=(x+5b)(x-8a-5b)

3 x(4)+x(2)+2ax-a(2)+1
=(x^4+2x^2+1)-(x^2-2ax+a^2)
=(x^2+1)^2-(x-a)^2
=(x^2+1+x-a)(x^2+1-x+a)

4 x(3)+6x(2)+11x+6
=(x^3+6x^2+9x)+(2x+6)
=x(x+3)^2+2(x+3)
=(x+3)(x^2+3x+2)
=(x+3)(x+1)(x+2)
5 用换元法解 (x(2)+5x+6)
(x(2)+7x+6)-3x(2)

题目不清楚

1.解:原式=(xy+x+y-1)(xy-x-y-1)
2.解:原式=(x+5b)(x-8a-5b)

1==>x^2y^2-2xy-2xy-x^2-y^2 1=(xy-1)^2-(x y)^2=(xy-x-y-1)(xy x y-1)