((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n4乘以x的4次乘以y的4次减二分之一xya^3+3a^2+3a+2x^2-2xy-8y^2-x-14y-63x^2+5xy-2y^2+x+9y-42x^2+y^2+3xy+4x+3y+2就以上几题!

((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n4乘以x的4次乘以y的4次减二分之一xya^3+3a^2+3a+2x^2-2xy-8y^2-x-14y-63x^2+5xy-2y^2+x+9y-42x^2+y^2+3xy+4x+3y+2就以上几题!
((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n
4乘以x的4次乘以y的4次减二分之一xy
a^3+3a^2+3a+2
x^2-2xy-8y^2-x-14y-6
3x^2+5xy-2y^2+x+9y-4
2x^2+y^2+3xy+4x+3y+2
就以上几题!

((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n4乘以x的4次乘以y的4次减二分之一xya^3+3a^2+3a+2x^2-2xy-8y^2-x-14y-63x^2+5xy-2y^2+x+9y-42x^2+y^2+3xy+4x+3y+2就以上几题!
[(a+x)^m+1(b+x)^n-1]-(a+x)^m(b+x)^n
=(a+x)^m*(a+x)*(b+x)^(n-1)-(a+x)^m*(b+x)^(n-1)*(b+x) (这步利用同底数幂相乘,底数不变,指数相加）
＝ (a+x)^m*(b+x)^(n-1)[（a+x)-(b+x)](提取公因式）
＝(a+x)^m*(b+x)^(n-1)*（a-b)
4乘以x的4次乘以y的4次减二分之一xy
=4x^4*y^4-xy/2
=xy/2(8x^3y^3-1)
=xy/2(2xy-1)(4x^2y^2+2xy+1)
a^3+3a^2+3a+2
=a^3+3a^2+2a+a+2
=a(a+2)(a+1)+a+2
=(a+2)(a^2+a+1)
x^2-2xy-8y^2-x-14y-6
=(x^2-2xy-8y^2)-x-14y-6
=(x-4y)(x+2y)-x-14y-6
=(x-4y-3)(x+2y+2)
3x^2+5xy-2y^2+x+9y-4
=(x+2y)(3x-y)+x+9y-4
=(x+2y)(3x-y)+(4x+8y-3x+y)-4
=(x+2y)(3x-y)+4(x+2y)-(3x-y)-4
=(x+2y)(3x-y) -(3x-y)+4(x+2y) -4
=(x+2y-1)(3x-y)+4(x+2y-1)
=(x+2y-1)(3x-y+4)
2x^2+y^2+3xy+4x+3y+2
＝2x^2+y^2+2xy+xy+2x+2x+y+2y+2
＝（2x^2＋2xy+2x）+（xy+y^2+y）+（2x+2y+2）
＝2x（x+y+1）+y（x+y+1）+2（x+y+1）
＝（x+y+1）（2x+y+2）

((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n
=(a+x)^m(b+x)n[(a+x)-(b+x)]
=(a+x)^m(b+x)n(a-b)
4x^4y^4-1/2*xy
=(1/2)xy(8x^3y^3-1)
=(1/2)xy(2xy-1)(4x^2y^2-2xy+1)
a^3+3a^2+3a+2
=(a^3-1)...

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((a+x)^m+1(b+x)^n-1)-(a+x)^m(b+x)^n
=(a+x)^m(b+x)n[(a+x)-(b+x)]
=(a+x)^m(b+x)n(a-b)
4x^4y^4-1/2*xy
=(1/2)xy(8x^3y^3-1)
=(1/2)xy(2xy-1)(4x^2y^2-2xy+1)
a^3+3a^2+3a+2
=(a^3-1)+3a^2+3a+3
=(a-1)(a^2+a+1)+3(a^2+a+1)
=(a-1+3)(a^2+a+1)
=(a+2)(a^2+a+1)
x^2-2xy-8y^2-x-14y-6
=(x-4y)(x+2y)-(3x+6y)+2x-8y-6
=(x-4y)(x+2y)-3(x+2y)+2x-8y-6
=(x+2y)(x-4y-3)+2(x-4y-3)
=(x-4y-3)(x+2y+2)
3x^2+5xy-2y^2+x+9y-4
=(3x-y)(x+2y)-(3x-y)+2x+8y-4
=(3x-y)(x+2y-1)+2(x+2y-1)
=(3x-y+2)(x+2y-1)
2x^2+y^2+3xy+4x+3y+2
=(2x+y)(x+y)+(2x+y)+2x+2y+2
=(2x+y)(x+y+1)+2(x+y+1)
=(2x+y+2)(x+y+1)

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z这年头积分真难赚啊！！
我上百度知道成瘾了！！！

4乘以x的4次乘以y的4次减二分之一xy
=4xy(x^3 y^3-1/8)
=4xy(xy-1/2)(x^2 y^2+1/2 xy+1/4)
a^3+3a^2+3a+2
=a^3+3a^2+3a+3-1
=(a-1)(a^2+a+1)+3(a^2+a+1)
=(a^2+a+1)(a-1+3)
=(a^2+a+1)(a+2)