帮帮.实数范围内分解因式:(x-1)(x+2)(x-3)(x-6)+56
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帮帮.实数范围内分解因式:(x-1)(x+2)(x-3)(x-6)+56
![帮帮.实数范围内分解因式:(x-1)(x+2)(x-3)(x-6)+56](/uploads/image/z/3250354-58-4.jpg?t=%E5%B8%AE%E5%B8%AE.%E5%AE%9E%E6%95%B0%E8%8C%83%E5%9B%B4%E5%86%85%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%EF%BC%88x-1%29%28x%2B2%29%28x-3%29%28x-6%29%2B56)
蜜罐奶茶 ,你好:
(x-1)(x+2)(x-3)(x-6)+56
=〔(x+2)(x-6)〕〔(x-1)(x-3)〕+56
=(x^2-4x+3-15)(x^2-4x+3)+56
=〔(x^2-4x+3)〕^2-15(x^2-4x+3)+56
=(x^2-4x+3-7)(x^2-4x+3-8)
=(x^2-4x-4)(x^2-4x-5)
=(x^2-4x-4)(x-5)(x+1)
(x-1)(x+2)(x-3)(x-6)+56
=〔(x+2)(x-6)〕〔(x-1)(x-3)〕+56
=(x^2-4x+3-15)(x^2-4x+3)+56
=〔(x^2-4x+3)〕^2-15(x^2-4x+3)+56
=(x^2-4x+3-7)(x^2-4x+3-8)
=(x^2-4x-4)(x^2-4x-5)
=(x^2-4x-4)(x-5)(x+1)