6(x²+9y²-1)²-216x²y²分解因式
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![6(x²+9y²-1)²-216x²y²分解因式](/uploads/image/z/11947242-66-2.jpg?t=6%28x%26%23178%3B%2B9y%26%23178%3B-1%EF%BC%89%26%23178%3B-216x%26%23178%3By%26%23178%3B%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F)
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)