(x+2)^2-(x+1)(x-1)=

来源:百度知道 编辑:UC知道 时间:2024/06/28 10:57:47
(a^3*b-3a^2b^2+2ab^3)/(ab)

(x+2)^2-(x+1)(x-1)
=(x²+4x+4)-(x²-1)
=4x+5

(a^3*b-3a^2b^2+2ab^3)/(ab)
=ab(a²-3ab+2b²)/(ab)
=(a-2b)(a-b)

完全平方公式:(a+b)²=a²+2ab+b²
平方差公式:(a-b)(a+b)=a²-b²

(x+2)^2-(x+1)(x-1)
=(x+2)^2-x^2+1
=(x+2+x)(x+2-x)+1
=2(2x+2)+1
=4x+5

(a^3*b-3a^2b^2+2ab^3)/(ab)
=ab(a^2-3ab+2b^2)/(ab)
=(a-2b)(a-b)