a²-1/25 b²要运用平方差公式分解因式的方法①a²-1/25 b²②m²(x-y)+n²(y-x)③16(x+y)²-25(x-y)²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 02:15:15
![a²-1/25 b²要运用平方差公式分解因式的方法①a²-1/25 b²②m²(x-y)+n²(y-x)③16(x+y)²-25(x-y)²](/uploads/image/z/1664096-32-6.jpg?t=a%26%23178%3B-1%2F25+b%26%23178%3B%E8%A6%81%E8%BF%90%E7%94%A8%E5%B9%B3%E6%96%B9%E5%B7%AE%E5%85%AC%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E7%9A%84%E6%96%B9%E6%B3%95%E2%91%A0a%26%23178%3B-1%2F25+b%26%23178%3B%E2%91%A1m%26%23178%3B%EF%BC%88x-y%EF%BC%89%2Bn%26%23178%3B%EF%BC%88y-x%EF%BC%89%E2%91%A216%EF%BC%88x%2By%EF%BC%89%26%23178%3B-25%EF%BC%88x-y%EF%BC%89%26%23178%3B)
a²-1/25 b²要运用平方差公式分解因式的方法①a²-1/25 b²②m²(x-y)+n²(y-x)③16(x+y)²-25(x-y)²
a²-1/25 b²要运用平方差公式分解因式的方法
①a²-1/25 b²②m²(x-y)+n²(y-x)③16(x+y)²-25(x-y)²
a²-1/25 b²要运用平方差公式分解因式的方法①a²-1/25 b²②m²(x-y)+n²(y-x)③16(x+y)²-25(x-y)²
解
a²-1/25b²
=a²-(1/5b)²
=(a-1/5b)(a+1/5b)
m²(x-y)+n²(y-x)
=m²(x-y)-n²(x-y)
=(x-y)(m²-n²)
=(x-y)(m+n)(m-n)
16(x+y)²-25(x-y)²
=[4(x+y)]²-[5(x-y)]²
=[4(x+y)-5(x-y)][4(x+y)+5(x-y)]
=(9y-x)(9x-y)