3×19²+6×19×21+3×21² 分解因式
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![3×19²+6×19×21+3×21² 分解因式](/uploads/image/z/2802971-11-1.jpg?t=3%C3%9719%26%23178%3B%EF%BC%8B6%C3%9719%C3%9721%EF%BC%8B3%C3%9721%26%23178%3B+%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F)
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3×19²+6×19×21+3×21² 分解因式
3×19²+6×19×21+3×21² 分解因式
3×19²+6×19×21+3×21² 分解因式
3×19²+6×19×21+3×21²
=3(19²+2×19×21+21² )
=3(19+21)²
=3x1600
=4800
原式=3×(19²+21² +2×19×21)=3×(19+21)²
原式3×19²+6×19×21+3×21²
=3×(19²+2×19×21+21²)
=3×(19+21)²[原理:a²+2ab+b²=(a+b)²]
=3×40²
=3×(2×2×2×5)²
=3×2²×2²×2²×5²