把下列各式因式分解,1,36-x² 2,m²-9n² 3,169x²-4y² 4,4分之49a²-x²y²,5,p的四平方-1
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![把下列各式因式分解,1,36-x² 2,m²-9n² 3,169x²-4y² 4,4分之49a²-x²y²,5,p的四平方-1](/uploads/image/z/5325761-65-1.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C1%2C36-x%26%23178%3B+2%2Cm%26%23178%3B-9n%26%23178%3B+3%2C169x%26%23178%3B-4y%26%23178%3B+4%2C4%E5%88%86%E4%B9%8B49a%26%23178%3B-x%26%23178%3By%26%23178%3B%2C5%2Cp%E7%9A%84%E5%9B%9B%E5%B9%B3%E6%96%B9-1)
把下列各式因式分解,1,36-x² 2,m²-9n² 3,169x²-4y² 4,4分之49a²-x²y²,5,p的四平方-1
把下列各式因式分解,
1,36-x² 2,m²-9n² 3,169x²-4y² 4,4分之49a²-x²y²,5,p的四平方-1
把下列各式因式分解,1,36-x² 2,m²-9n² 3,169x²-4y² 4,4分之49a²-x²y²,5,p的四平方-1
1,36-x²==6²-x²=(6+x)(6-x)
2,m²-9n²=m²-(3n)²=(m+3n)(m-3n)
3,169x²-4y²==(13x)²-(2y)²=(13x+2y)(13x-2y)
4,49/4*a²-x²y²=(7/2*a)²-(xy)²=(7/2*a+xy)(7/2*a-xy)
5,p^4-1=(p²)²-1²=(p²+1)(p²-1)=(p²+1)(p+1)(p-1)
都是平方差公式
1,36-x²
=(6-x)(6+x)
2,m²-9n²
=(m+3n)(m-3n)
3,169x²-4y²
=(13x+2y)(13x-2y)
4, 4分之49a²-x²y²,
=(2分之7a)²-(xy)²
=(2分之7a+xy)(2分之7a-xy)
5,p的四平方-1
=(p²+1)(p²-1)
=(p²+1)(p+1)(p-1)
(6-x)(6+x)
(m-3n)(m+3n)
(13x-2y)(13x+2y)
(7/2a-xy)(7/2a+xy)
(p²-1)(p²+1)=(p²+1)(p+1)(p-1)