Question

求因式分解答案

Answer 1

1. 原式＝(x-y)^2+2(x-y)-3=(x-y+3)(x-y-1)

2. 原式=(3x+y)(2x-3y)+xz+7yz-2z^2=(3x+y-2z)(2x-3y+z)

3. 原式=(2x+1)x^2-3(2x+1)=(2x+1)(x^2-3)=(2x+1)(x-√3)(x+√3)

4. 原式=3a^3+6a^2+a^2-4=3a^2(a+2)+(a-2)(a+2)=(a+2)(3a^2+a-2)=(a+2)(3a-2)(a+1)

5. 原式=(a-5b)^2-5(a-5b)-6=(a-5b-6)(a-5b+1)

6. 原式=x^4+2x^2y^2+y^4-x^2y^2=(x^2+y^2)^2-x^2y^2=(x^2+y^2-xy)(x^2+y^2+xy)
   

Answer 2

1.   =(x-y)平方+2(x-y)-3=(x-y+3)(x-y-1)

3.