①3x²+6xy+3y²②81(m+n)²-16(m-n)²③4x²(x-y)+(y-x)④16x的四次方-8x²y²+y四次方 ⑤x²y的n-1次方-y的n+1次方⑥-4a²x²+8ax-4⑦x²-y²-2x+2y⑧4x²-y²-4x+1
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/03 13:41:48
![①3x²+6xy+3y²②81(m+n)²-16(m-n)²③4x²(x-y)+(y-x)④16x的四次方-8x²y²+y四次方 ⑤x²y的n-1次方-y的n+1次方⑥-4a²x²+8ax-4⑦x²-y²-2x+2y⑧4x²-y²-4x+1](/uploads/image/z/3137135-23-5.jpg?t=%E2%91%A03x%26%23178%3B%2B6xy%2B3y%26%23178%3B%E2%91%A181%28m%2Bn%29%26%23178%3B-16%28m-n%29%26%23178%3B%E2%91%A24x%26%23178%3B%28x-y%29%2B%28y-x%29%E2%91%A316x%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9-8x%26%23178%3By%26%23178%3B%2By%E5%9B%9B%E6%AC%A1%E6%96%B9+%E2%91%A4x%26%23178%3By%E7%9A%84n-1%E6%AC%A1%E6%96%B9-y%E7%9A%84n%2B1%E6%AC%A1%E6%96%B9%E2%91%A5-4a%26%23178%3Bx%26%23178%3B%2B8ax-4%E2%91%A6x%26%23178%3B-y%26%23178%3B-2x%2B2y%E2%91%A74x%26%23178%3B-y%26%23178%3B-4x%2B1)
①3x²+6xy+3y²②81(m+n)²-16(m-n)²③4x²(x-y)+(y-x)④16x的四次方-8x²y²+y四次方 ⑤x²y的n-1次方-y的n+1次方⑥-4a²x²+8ax-4⑦x²-y²-2x+2y⑧4x²-y²-4x+1
①3x²+6xy+3y²②81(m+n)²-16(m-n)²③4x²(x-y)+(y-x)
④16x的四次方-8x²y²+y四次方
⑤x²y的n-1次方-y的n+1次方
⑥-4a²x²+8ax-4
⑦x²-y²-2x+2y
⑧4x²-y²-4x+1
①3x²+6xy+3y²②81(m+n)²-16(m-n)²③4x²(x-y)+(y-x)④16x的四次方-8x²y²+y四次方 ⑤x²y的n-1次方-y的n+1次方⑥-4a²x²+8ax-4⑦x²-y²-2x+2y⑧4x²-y²-4x+1
①3x²+6xy+3y²
=3(x²+2xy+y²)
=3(x+y)²
②81(m+n)²-16(m-n)²
=[9(m+n)]²-[4(m-n)]²
=(9m+9n+4m-4n)(9m+9n-4m+4n)
=(13m+5n)(5m+13n)
③4x²(x-y)+(y-x)
=4x²(x-y)-(x-y)
=(x-y)(4x²-1)
=(x-y)(2x+1)(2x-1)
④16x的四次方-8x²y²+y四次方
=(4x²-y²)²
=(2x+y)²(2x-y)²
⑤x²y的n-1次方-y的n+1次方
=y的(n-1)次方(x²-y²)
=y的(n-1)次方(x+y)(x-y)
⑥-4a²x²+8ax-4
=-4(a²x²-2ax+1)
=-4(ax-1)²
⑦x²-y²-2x+2y
=(x+y)(x-y)-2(x-y)
=(x-y)(x+y-2)
⑧4x²-y²-4x+1
=(4x²-4x+1)-y²
=(2x-1)²-y²
=(2x-1+y)(2x-1-y)