提取公因式法 1.X^2n - 3X^n2.(X-2Y)-(X-2Y)^33.6ab(a+b)^2 -4a^2b(a+b)4.X^n+2 - 2X^2

问题描述:

提取公因式法
1.X^2n - 3X^n
2.(X-2Y)-(X-2Y)^3
3.6ab(a+b)^2 -4a^2b(a+b)
4.X^n+2 - 2X^2

1. X^2n - 3X^n
=x^n(x^n-3)

2. (X-2Y)-(X-2Y)^3
=(x-2y){1-(x-2y)²}
=(x-2y)(1+x-2y)(1-x+2y)

3. 6ab(a+b)^2 -4a^2b(a+b)
=2ab(a+b)(3a+3b-2a)
=2ab(a+b)(a+3b)

4. X^n+2 - 2X^2

=x²(x^n-2)

1.X^2n - 3X^n
=x^(n+n)-3x^n
=x^n(x^n -3)
2.(X-2Y)-(X-2Y)^3
=(x-2y)[1-(x-2y)²]
=(x-2y)(1-x+2y)(1+x-2y)
3.6ab(a+b)^2 -4a^2b(a+b)
=2ab(a+b)[3(a+b)-2a]
=2ab(a+3b)(a+b)
4.X^n+2 - 2X^2
=x²(x^n-2)