因式分解练习题1.3x^6-3x^22.(a^2-2b)^2-(1-2b)^23.9x^4-36y^24.4(x+y)^2-(x-y)^25.x^2-36.x^2-5y^2
问题描述:
因式分解练习题
1.3x^6-3x^2
2.(a^2-2b)^2-(1-2b)^2
3.9x^4-36y^2
4.4(x+y)^2-(x-y)^2
5.x^2-3
6.x^2-5y^2
答
1.3x^6-3x^2=3x^2(x^4-1)=3x^2(x^2+1)(x^2-1)=3x^2(x^2+1)(x+1)(x-1) 2.(a^2-2b)^2-(1-2b)^2=(a^2-2b+1-2b)( a^2-2b-1+2b)=(a^2+1)(a^2-1)=(a^2+1)(a+1)(a-1)3.9x^4-36y^2=9(x^4-4y^2)=9(x^2+2y)(x^-2y) 4.4(x+y)...