解决下列因式分解,(最好有过程)1.a^3-b^3-a^2+b^22.2a^3+a^2-8a-43.a^2-2a-b^2+14.ab(c^2-d^2)-cd(a^2-b^2)5.a^4+a^2+16.x^(n+3)-x^n*y^37.(x-3y)^4+x^2-6xy+9y^2-2
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![解决下列因式分解,(最好有过程)1.a^3-b^3-a^2+b^22.2a^3+a^2-8a-43.a^2-2a-b^2+14.ab(c^2-d^2)-cd(a^2-b^2)5.a^4+a^2+16.x^(n+3)-x^n*y^37.(x-3y)^4+x^2-6xy+9y^2-2](/uploads/image/z/1968085-37-5.jpg?t=%E8%A7%A3%E5%86%B3%E4%B8%8B%E5%88%97%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C%EF%BC%88%E6%9C%80%E5%A5%BD%E6%9C%89%E8%BF%87%E7%A8%8B%EF%BC%891.a%5E3-b%5E3-a%5E2%2Bb%5E22.2a%5E3%2Ba%5E2-8a-43.a%5E2-2a-b%5E2%2B14.ab%28c%5E2-d%5E2%29-cd%28a%5E2-b%5E2%295.a%5E4%2Ba%5E2%2B16.x%5E%28n%2B3%29-x%5En%2Ay%5E37.%28x-3y%29%5E4%2Bx%5E2-6xy%2B9y%5E2-2)
解决下列因式分解,(最好有过程)1.a^3-b^3-a^2+b^22.2a^3+a^2-8a-43.a^2-2a-b^2+14.ab(c^2-d^2)-cd(a^2-b^2)5.a^4+a^2+16.x^(n+3)-x^n*y^37.(x-3y)^4+x^2-6xy+9y^2-2
解决下列因式分解,(最好有过程)
1.a^3-b^3-a^2+b^2
2.2a^3+a^2-8a-4
3.a^2-2a-b^2+1
4.ab(c^2-d^2)-cd(a^2-b^2)
5.a^4+a^2+1
6.x^(n+3)-x^n*y^3
7.(x-3y)^4+x^2-6xy+9y^2-2
解决下列因式分解,(最好有过程)1.a^3-b^3-a^2+b^22.2a^3+a^2-8a-43.a^2-2a-b^2+14.ab(c^2-d^2)-cd(a^2-b^2)5.a^4+a^2+16.x^(n+3)-x^n*y^37.(x-3y)^4+x^2-6xy+9y^2-2
1. a^3-b^3-a^2+b^2=(a-b)(a²+ab+b²)-(a-b)(a+b)=(a-b)(a²+ab+b²-a-b)
2. 2a^3+a^2-8a-4=a²(2a+1)-4(2a+1)=(2a+1)(a²-4)=(2a+1)(a+2)(a-2)
3. a^2-2a-b^2+1=(a-1)²-b²=(a-b-1)(a+b-1)
5. a^4+a^2+1= a^4+2a^2+1-a²=(a²+1)²-a²=(a²+a+1)(a²-a+1)
6. x^(n+3)-x^n*y^3=a^n(x³-y³)=x^n(x-y)(x²+xy+y²)
7. (x-3y)^4+x^2-6xy+9y^2-2
=(x-3y)^4+(x-3y)²-2
=([x-3y)²+2][(x-3y)²-1]
=(x²-6xy+y²+2)(x-3y-1)(x-3y+1)
1)漏了平方吧 (x 2; y 2;) 2;-x 2;y 2; =(x 2; y 2;-xy)(x 2; y 2; xy) 2)3ax 2;-3ay四次方 =3a(x 2;-y四次方) =3a