x^2+2xy+y^2+5x+5y-6

来源：百度知道 编辑：UC知道 时间：2024/06/06 19:15:49
x^2+2xy+y^2+5x+5y-6
a^2-4ab+4b^2-4c^2
x^3-3x^2+4
(x^2+y^2)^2+3xy(x^2+y^2)-10x^2y^2
a^8-b^8

x^2+2xy+y^2+5x+5y-6
=(x+y)^2+5(x+y)-6
=(x+y+6)(x+y-1)

a^2-4ab+4b^2-4c^2
=(a-2b)^2-(2c)^2
=(a-2b+2c)(a-2b+2c)

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

(x^2+y^2)^2+3xy(x^2+y^2)-10x^2y^2
=(x^2+y^2+5xy)(x^2+y^2-2xy)
=(x^2+y^2+5xy)(x-y)^2

a^8-b^8
=(a^4+b^4)(a^4-b^4)
=(a^4+b^4)(a^2+b^2)(a+b)(a-b)

x^2+2xy+y^2+5x+5y-6
=（x+y）^2+5(x+y)-6
=(x+y+6)(x+y-1)

a^2-4ab+4b^2-4c^2
=(a-2b)^2-(2c)^2
=(a-2b+2c)(a-2b-2c)