1 (a-b)(3a+b)²+(a+3b)²(b-a)2 (2x²+1)²-4(x²+2x)²3 (a+b)²-2(a²-b²)+(a-b)²4 a²-2ab+b²-a+b
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 18:48:48
![1 (a-b)(3a+b)²+(a+3b)²(b-a)2 (2x²+1)²-4(x²+2x)²3 (a+b)²-2(a²-b²)+(a-b)²4 a²-2ab+b²-a+b](/uploads/image/z/11286193-49-3.jpg?t=1+%EF%BC%88a-b%EF%BC%89%EF%BC%883a%2Bb%EF%BC%89%26sup2%3B%2B%EF%BC%88a%2B3b%EF%BC%89%26sup2%3B%EF%BC%88b-a%EF%BC%892+%EF%BC%882x%26sup2%3B%2B1%EF%BC%89%26sup2%3B-4%EF%BC%88x%26sup2%3B%2B2x%29%26sup2%3B3+%28a%2Bb%29%26sup2%3B-2%28a%26sup2%3B-b%26sup2%3B%29%2B%28a-b%29%26sup2%3B4+a%26sup2%3B-2ab%2Bb%26sup2%3B-a%2Bb)
1 (a-b)(3a+b)²+(a+3b)²(b-a)2 (2x²+1)²-4(x²+2x)²3 (a+b)²-2(a²-b²)+(a-b)²4 a²-2ab+b²-a+b
1 (a-b)(3a+b)²+(a+3b)²(b-a)
2 (2x²+1)²-4(x²+2x)²
3 (a+b)²-2(a²-b²)+(a-b)²
4 a²-2ab+b²-a+b
1 (a-b)(3a+b)²+(a+3b)²(b-a)2 (2x²+1)²-4(x²+2x)²3 (a+b)²-2(a²-b²)+(a-b)²4 a²-2ab+b²-a+b
1.原式=(a-b)(3a+b)²-(a+3b)²(a-b)
=(a-b)[(3a+b)²-(a+3b)²]
=(a-b)(3a+b+a+3b)(3a+b-a-3b)
=(a-b)(4a+ab)(2a-2b)
=8(a+b)(a-b)²
2.原式=[2x²+1+2(x²+2x)][2x²+1-2(x²+2x)]
=(4x²+4x+1)(1-4x)
=(2x+1)²(1-4x)
3.原式=(a+b)²-2(a-b)(a+b)+(a-b)²
=[a+b-(a-b)]²
=4b²
4.原式=(a-b)²-(a-b)
=(a-b)(a-b-1)
1 (a-b)(3a+b)²+(a+3b)²(b-a)
=(3a+b)²(a-b+b-a)
=0
2 (2x²+1)²-4(x²+2x)²
[2x²+1+2(x²+2x)][2x²+1-2(x²+2x)]
=(4x²+4x+1)(...
全部展开
1 (a-b)(3a+b)²+(a+3b)²(b-a)
=(3a+b)²(a-b+b-a)
=0
2 (2x²+1)²-4(x²+2x)²
[2x²+1+2(x²+2x)][2x²+1-2(x²+2x)]
=(4x²+4x+1)(1-4x)
=(2x+1)²(1-4x)
3 (a+b)²-2(a²-b²)+(a-b)²
=(a+b)²-2(a-b)(a+b)+(a-b)²
=[a+b-(a-b)]²
=4b²
4 a²-2ab+b²-a+b
=(a-b)²-(a-b)
=(a-b)(a-b-1)
收起