因式分解:6xy²_9xy²_y³t的四次方-2t²+1(2a-b)²+8ab32a(x²+x)²-2a(a-b)³+2(b-a)的四次方+(a-b)的五次方a²-1+b²-2abx²-4y²+2x-4y3a的3n次方-12a的2n次方×b+12a的n次方×b
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![因式分解:6xy²_9xy²_y³t的四次方-2t²+1(2a-b)²+8ab32a(x²+x)²-2a(a-b)³+2(b-a)的四次方+(a-b)的五次方a²-1+b²-2abx²-4y²+2x-4y3a的3n次方-12a的2n次方×b+12a的n次方×b](/uploads/image/z/1002722-50-2.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A6xy%26%23178%3B_9xy%26%23178%3B_y%26%23179%3Bt%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-2t%26%23178%3B%2B1%EF%BC%882a-b%29%26%23178%3B%2B8ab32a%28x%26%23178%3B%2Bx%29%26%23178%3B-2a%28a-b%29%26%23179%3B%2B2%28b-a%29%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B%28a-b%29%E7%9A%84%E4%BA%94%E6%AC%A1%E6%96%B9a%26%23178%3B-1%2Bb%26%23178%3B-2abx%26%23178%3B-4y%26%23178%3B%2B2x-4y3a%E7%9A%843n%E6%AC%A1%E6%96%B9-12a%E7%9A%842n%E6%AC%A1%E6%96%B9%C3%97b%2B12a%E7%9A%84n%E6%AC%A1%E6%96%B9%C3%97b%26%2317)
因式分解:6xy²_9xy²_y³t的四次方-2t²+1(2a-b)²+8ab32a(x²+x)²-2a(a-b)³+2(b-a)的四次方+(a-b)的五次方a²-1+b²-2abx²-4y²+2x-4y3a的3n次方-12a的2n次方×b+12a的n次方×b
因式分解:6xy²_9xy²_y³
t的四次方-2t²+1
(2a-b)²+8ab
32a(x²+x)²-2a
(a-b)³+2(b-a)的四次方+(a-b)的五次方
a²-1+b²-2ab
x²-4y²+2x-4y
3a的3n次方-12a的2n次方×b+12a的n次方×b²(n为自然数)
因式分解:6xy²_9xy²_y³t的四次方-2t²+1(2a-b)²+8ab32a(x²+x)²-2a(a-b)³+2(b-a)的四次方+(a-b)的五次方a²-1+b²-2abx²-4y²+2x-4y3a的3n次方-12a的2n次方×b+12a的n次方×b
6xy²_9xy²_y³=-y²(y-3x)
(2a-b)²+8ab=(2a+b)²
32a(x²+x)²-2a=2a(2x+1)²(2x+1+√2)(2x+1-√2)
t的四次方-2t²+1=(t+1)²(t-1)²
(a-b)³+2(b-a)的四次方+(a-b)的五次方=(a-b)³(a-b+1)²
a²-1+b²-2ab=(a-b-1)(a-b+1)
x²-4y²+2x-4y=(x+2y+2)(x-2y)
3a的3n次方-12a的2n次方×b+12a的n次方×b²(n为自然数)=3a的n次方(a的n次方-2b)的平方
6xy²-9xy²-y³
=y²(6x-9x-y)
t的四次方-2t²+1
=t^4-2t²+1
=(t²-1)²
=(t-1)²(t+1)²
(2a-b)²+8ab
=(2a)²-4ab+b²+8ab
=(2a)²+4ab+b²
=(2a+b)²