数学因式分解 急~在线等

Question

（X+2)(X+4)+X²-4=
1-4a+a²=
a²-4a+4-b²=
x²-y²+2y-1=
a²-2a+ab-2b=
x²-bx-a²+ab=
3a²+5a-2=
6x²+15x+6=
(2a-b)(b+2a)+(a+b)²=
所有都是平方 各位大侠 会写几题就写几题 最好有过程

Answer 1

1.x^2+6x+8+x^2-4
=2x^2+6x+4
=2(x+1)(x+2)
2.1-4a+a^2
=a^2-4a+4-3
=(a-2)^2-3
=(a-2+√3)(a-2-√3)
3.a^2-4a+4-b^2
=(a-2)^2-b^2
=(a-2+b)(a-2-b)
4.x^2-y^2+2y-1
=x^2-(y^2-2y+1)
=x^2-(y-1)^2
=(x+y-1)(x-y+1)
5.a^2-2a+ab-2b
=a(a+b)-2(a+b)
=(a-2)(a+b)
6.x^2-bx-a^2+ab
=(x+a)(x-a)-b(x-a)
=(x-a)(x+a-b)
7.3a^2+5a-2
=(3a-1)(a+2)
8.6x^2+15x+6
=3(2x^2+5x+2)
=3(2x+1)(x+2)
9.(2a-b)(b+2a)+(a+b)^2
=4a^2-b^2+a^2+2ab+b^2
=5a^2+2ab
=a(5a+2b)
建议先学学方法，题目都不是很难

Answer 2

1.x^2+6x+8+x^2-4
=2x^2+6x+4
=2(x+1)(x+2)
2.1-4a+a^2
=a^2-4a+4-3
=(a-2)^2-3
=(a-2+√3)(a-2-√3)
3.a^2-4a+4-b^2
=(a-2)^2-b^2
=(a-2+b)(a-2-b)
4.x^2-y^2+2y-1
=x^2-(y^2-2y+1)
=x^2-(y-1)^2
=(x+y-1)(x-y+1)
5.a^2-2a+ab-2b
=a(a+b)-2(a+b)
=(a-2)(a+b)
6.x^2-bx-a^2+ab
=(x+a)(x-a)-b(x-a)
=(x-a)(x+a-b)
7.3a^2+5a-2
=(3a-1)(a+2)
8.6x^2+15x+6
=3(2x^2+5x+2)
=3(2x+1)(x+2)
9.(2a-b)(b+2a)+(a+b)^2
=4a^2-b^2+a^2+2ab+b^2
=5a^2+2ab
=a(5a+2b)