Question

数学题初二提公因式法

1. y(x+2)^2+y^2(x+2)
2. x(b+c+d)-y(b+c-a)-(a-b-c)
3. x^2n+3-x^2n+2+2x^2n+1
4. (x-y)^2n+1+2(y-x)^2n(y-z)-(x-z)(x-z)(x-y)^2n

Answer 1

1. y(x+2)^2+y^2(x+2)
=y(x+2)(x+2+y)

2. x(b+c+a)-y(b+c-a)-(a-b-c) d应该是a吧？？？
=xb+xc+xa-yb-yc+ya-a+b+c
=b(x-y+1)+c(x-y+1)+a(x+y+1)
=(x-y+1)(b+c)+a(x+y+1)

3 x^2n+3-x^2n+2+2x^2n+1
=6+2x^2n
=2(3+x^2n)

4. (x-y)^2n+1+2(y-x)^2n(y-z)-(x-z)(x-z)(x-y)^2n
=(x-y)^2n[1+2(y-z)-(x-z)^2]+1

感觉你的3 4题有问题