1.分解因式:(1)a³(a-b)-8(a-b) (2)(x²+3x)²-2(x²+3x+4) (3)2x²-4xy+2y² (4)x³-4xy² (5)x²-5xy-6y² (6)2x³-162.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=____
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 02:22:42
![1.分解因式:(1)a³(a-b)-8(a-b) (2)(x²+3x)²-2(x²+3x+4) (3)2x²-4xy+2y² (4)x³-4xy² (5)x²-5xy-6y² (6)2x³-162.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=____](/uploads/image/z/11912063-23-3.jpg?t=1.%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%EF%BC%881%EF%BC%89a%26%23179%3B%EF%BC%88a-b%29-8%28a-b%29+%EF%BC%882%EF%BC%89%28x%26%23178%3B%2B3x%29%26%23178%3B-2%28x%26%23178%3B%2B3x%2B4%29+%EF%BC%883%EF%BC%892x%26%23178%3B-4xy%2B2y%26%23178%3B+%EF%BC%884%EF%BC%89x%26%23179%3B-4xy%26%23178%3B+%EF%BC%885%EF%BC%89x%26%23178%3B-5xy-6y%26%23178%3B+%EF%BC%886%EF%BC%892x%26%23179%3B-162.%E5%A6%82%E6%9E%9C2x%26%23178%3B%2Bmxcy%2Bny%26%23178%3B%3D%28x%2By%29%282x-y%29%2C%E9%82%A3%E4%B9%88m%3D____%2Cn%3D____)
1.分解因式:(1)a³(a-b)-8(a-b) (2)(x²+3x)²-2(x²+3x+4) (3)2x²-4xy+2y² (4)x³-4xy² (5)x²-5xy-6y² (6)2x³-162.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=____
1.分解因式:(1)a³(a-b)-8(a-b) (2)(x²+3x)²-2(x²+3x+4) (3)2x²-4xy+2y² (4)x³-4xy² (5)x²-5xy-6y² (6)2x³-16
2.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=_____
3.计算:(1)x/(x²-1)·x²-x-2/x²-2x (2)(1/2+a/2a+2)÷a²-a/a²-1
1.分解因式:(1)a³(a-b)-8(a-b) (2)(x²+3x)²-2(x²+3x+4) (3)2x²-4xy+2y² (4)x³-4xy² (5)x²-5xy-6y² (6)2x³-162.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=____
(1)a³(a-b)-8(a-b)
=(a-b) (a-2)(a²+2a+4)
(2)(x²+3x)²-2(x²+3x+4)
=(x²+3x)²-2(x²+3x)-8
=(x²+3x-4)(x²+3x+2)
=(x+4)(x-1)(x+1)(x+2)
(3)2x²-4xy+2y²
=2(x-y)²
(4)x³-4xy²
=x(x+2y)(x-2y)
(5)x²-5xy-6y²
=(x-6y)(x+y)
(6)2x³-16
=2(x-2)(x²+2x+4)
2.如果2x²+mxcy+ny²=(x+y)(2x-y),那么m=____,n=_____
(x+y)(2x-y)
=2x²+xy-y²
所以
m=1 n=-1
3.计算:(1)x/(x²-1)·x²-x-2/x²-2x
=x/(x+1)(x-1)*(x-2)(x+1)/x(x-2)
=x/(x-1)*1/x
=1/(x-1
(2)(1/2+a/2a+2)÷a²-a/a²-1
=[1/2+a/2(a+1)]÷a(a-1)/(a+1)(a-1)
=[1/2+a/2(a+1)]÷a/(a+1)
=[1/2+a/2(a+1)]*(a+1)/a
=(2a+1)/2(a+1)*(a+1)/a
=(2a+1)/a