因式分解①4a²b²-(a²+b²)²②(c²-a²-b²)²-4a²b² ③(1-a²)(1-b²)-)(a²-1)²(b²-1)²
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![因式分解①4a²b²-(a²+b²)²②(c²-a²-b²)²-4a²b² ③(1-a²)(1-b²)-)(a²-1)²(b²-1)²](/uploads/image/z/143273-65-3.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E2%91%A04a%26%23178%3Bb%26%23178%3B-%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89%26%23178%3B%E2%91%A1%EF%BC%88c%26%23178%3B-a%26%23178%3B-b%26%23178%3B%EF%BC%89%26%23178%3B-4a%26%23178%3Bb%26%23178%3B+%E2%91%A2%EF%BC%881-a%26%23178%3B%EF%BC%89%EF%BC%881-b%26%23178%3B%EF%BC%89-%EF%BC%89%EF%BC%88a%26%23178%3B-1%EF%BC%89%26%23178%3B%EF%BC%88b%26%23178%3B-1%EF%BC%89%26%23178%3B)
因式分解①4a²b²-(a²+b²)²②(c²-a²-b²)²-4a²b² ③(1-a²)(1-b²)-)(a²-1)²(b²-1)²
因式分解①4a²b²-(a²+b²)²
②(c²-a²-b²)²-4a²b² ③(1-a²)(1-b²)-)(a²-1)²(b²-1)²
因式分解①4a²b²-(a²+b²)²②(c²-a²-b²)²-4a²b² ③(1-a²)(1-b²)-)(a²-1)²(b²-1)²
1 =(2ab+a2+b2)(2ab-a2-b2)
=-(a+b)2*(a-b)2
2:原式=(c2-a2-b2+2ab)(c2-a2-b2-2ab)
=(c2-(a-b)2)(c2-(a+b)2)
=(c+a-b)(c-a+b)(c-a-b)(c+a+b)
3;原式=(1-(a2-1)(b2-1))(a+1)(a-1)(b+1)(b-1)
=(a2+b2-a2b2)(a+1)(a-1)(b+1)(b-1)
1 =(2ab+a^2+b^2)(2ab-a^2-b^2)
=-(a+b)^2*(a-b)^2
2=(c^2-a^2-b^2+2ab)(c^2-a^2-b^2-2ab)
=(c^2-(a-b)^2)(c^2-(a+b)^2)
=(c+a-b)(c-a+b)(c+a+b)(c-a-b)
3题目描述不清楚
1、4a²b²-(a²+b²)²
=(2ab)^2-(a^2+b^2)^2
=(2ab+a^2+b^2)(2ab-a^2-b^2)
=-(a+b)^2(a-b)^2;
2、(c²-a²-b²)²-4a²b²
=(c^2-a^2-b^2+2ab)(c^...
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1、4a²b²-(a²+b²)²
=(2ab)^2-(a^2+b^2)^2
=(2ab+a^2+b^2)(2ab-a^2-b^2)
=-(a+b)^2(a-b)^2;
2、(c²-a²-b²)²-4a²b²
=(c^2-a^2-b^2+2ab)(c^2-a^2-b^2-2ab)
=[c^2-(a-b)^2][c^2-(a+b)^2]
=(c+a-b)(c-a+b)(c+a+b)(c-a-b);
3、(1-a²)(1-b²)-(a²-1)²(b²-1)²
=(a^2-1)(b^2-1)[1-(a^2-1)(b^2-1)]
=(a-1)(a+1)(b-1)(b+1)(a^2+b^2-a^2b^2)。
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