因式分解:①(a+3)²-6(a+3)②(x-y)²-2(y-x)²③(a-3)(a+2)-6④(a²+b²)-4a²b²⑤(x²+x)-(y²+y)⑥9(a-b)²+6(a-b)+1
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![因式分解:①(a+3)²-6(a+3)②(x-y)²-2(y-x)²③(a-3)(a+2)-6④(a²+b²)-4a²b²⑤(x²+x)-(y²+y)⑥9(a-b)²+6(a-b)+1](/uploads/image/z/431136-0-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%E2%91%A0%28a%2B3%29%26%23178%3B-6%EF%BC%88a%2B3%EF%BC%89%E2%91%A1%EF%BC%88x-y%EF%BC%89%26%23178%3B-2%EF%BC%88y-x%EF%BC%89%26%23178%3B%E2%91%A2%EF%BC%88a-3%29%28a%2B2%29-6%E2%91%A3%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89-4a%26%23178%3Bb%26%23178%3B%E2%91%A4%EF%BC%88x%26%23178%3B%2Bx%29-%28y%26%23178%3B%2By%29%E2%91%A59%EF%BC%88a-b%EF%BC%89%26%23178%3B%2B6%EF%BC%88a-b%EF%BC%89%2B1)
因式分解:①(a+3)²-6(a+3)②(x-y)²-2(y-x)²③(a-3)(a+2)-6④(a²+b²)-4a²b²⑤(x²+x)-(y²+y)⑥9(a-b)²+6(a-b)+1
因式分解:①(a+3)²-6(a+3)②(x-y)²-2(y-x)²
③(a-3)(a+2)-6
④(a²+b²)-4a²b²
⑤(x²+x)-(y²+y)
⑥9(a-b)²+6(a-b)+1
因式分解:①(a+3)²-6(a+3)②(x-y)²-2(y-x)²③(a-3)(a+2)-6④(a²+b²)-4a²b²⑤(x²+x)-(y²+y)⑥9(a-b)²+6(a-b)+1
1 (a+3)(a-3)
2 -(x-y)²
3 (a+3)(a-4)
4 a^2+b^2-4a^2b^2\x09
=a^2+b^2-4a^2b^2+2ab-2ab\x09
=(a+b)^2-4a^2b^2-2ab\x09
=(a+b)^2-4a^2b^2-2ab+1/4-1/4\x09
=(a+b)^2-(2ab+1/2)^2+1/4\x09
=(a+b+2ab+1/2)(a+b-2ab-1/2)+1/4
5 (x+y+1)(x-y)
6 (3a-3b+1)²
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