分解因式(2x+y)²-(x+2y)² 2x²-1/2y²2、利用因式分解计算 758²-258² 99*101*10001
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![分解因式(2x+y)²-(x+2y)² 2x²-1/2y²2、利用因式分解计算 758²-258² 99*101*10001](/uploads/image/z/1076759-71-9.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%882x%2By%EF%BC%89%26%23178%3B-%EF%BC%88x%2B2y%EF%BC%89%26%23178%3B+2x%26%23178%3B-1%2F2y%26%23178%3B2%E3%80%81%E5%88%A9%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E8%AE%A1%E7%AE%97+758%26%23178%3B-258%26%23178%3B++99%2A101%2A10001)
分解因式(2x+y)²-(x+2y)² 2x²-1/2y²2、利用因式分解计算 758²-258² 99*101*10001
分解因式(2x+y)²-(x+2y)² 2x²-1/2y²
2、利用因式分解计算 758²-258² 99*101*10001
分解因式(2x+y)²-(x+2y)² 2x²-1/2y²2、利用因式分解计算 758²-258² 99*101*10001
分解因式(2x+y)²-(x+2y)²
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y);
2x²-1/2y²
=(1/2)(4x²-y²)
=(1/2)(2x+y)(2x-y);
2、利用因式分解计算
758²-258²
=(758+258)(758-258)
=1016×500
=508000;
99*101*10001
=(100-1)×(100+1)×(10000+1)
=(10000-1)×(10000+1)
=100000000-1
=99999999;
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