6(x²+9y²-1）²-216x²y²分解因式

6(x²+9y²-1）²-216x²y²分解因式
6(x²+9y²-1）²-216x²y²分解因式

6(x²+9y²-1）²-216x²y²分解因式
原式=6(x²+9y²-1-6xy)(x²+9y²-1+6xy)=6(x-3y-1)(x-3y+1)(x+3y+1)(x+3y-1)

6(x²+9y²-1）²-216x²y²=6[x²+9y²-1)-36x²y²]
=6(x²+9y²-1+6xy)(x²+9y²-1-6xy)=6[(x+3y)²-1][(x-3y)²-1]
=6(x+3y+1)(x+3y-1)(x-3y+1)(x-3y-1)