因式分解: (1)a^2+b^2+6a+6b+2ab+9 (2)x^2+2x-2y-y^2 (3)a^2-b^2-2b-1 (4)3x^2+6xy+3y^2

谢谢了!!在线等!!!
2024-12-20 04:19:59
推荐回答(2个)
回答1:

(1)(a+b+3)^2;(2)(x-y)(x-y+2);(3)(a-b-1)(a+b+1);(4)3(x+y)^2

回答2:

a^2+b^2+6a+6b+2ab+9
=(a+b)^2+6(a+b)+9
=(a+b+3)^2
x^2+2x-2y-y^2
=(x+y)(x-y)+2(x-y)
=(x-y)(2+x+y)
a^2-b^2-2b-1
=a^2-(b+1)^2
=(a+b+1)(a-b-1)
3x^2+6xy+3y^2
=3(x+y)^2