问几道分解因式题目(1) x³ - 6x² +12x-8(2)7 + 8a - 12a(3)a³ + a²b -ab²-b³(4)a四次方 + a²b² + b四次方
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![问几道分解因式题目(1) x³ - 6x² +12x-8(2)7 + 8a - 12a(3)a³ + a²b -ab²-b³(4)a四次方 + a²b² + b四次方](/uploads/image/z/12192113-65-3.jpg?t=%E9%97%AE%E5%87%A0%E9%81%93%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E9%A2%98%E7%9B%AE%EF%BC%881%EF%BC%89+x%26%23179%3B+-+6x%26%23178%3B+%2B12x-8%EF%BC%882%EF%BC%897+%2B+8a+-+12a%EF%BC%883%EF%BC%89a%26%23179%3B+%2B+a%26%23178%3Bb+-ab%26%23178%3B-b%26%23179%3B%EF%BC%884%EF%BC%89a%E5%9B%9B%E6%AC%A1%E6%96%B9+%2B+a%26%23178%3Bb%26%23178%3B+%2B+b%E5%9B%9B%E6%AC%A1%E6%96%B9)
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问几道分解因式题目(1) x³ - 6x² +12x-8(2)7 + 8a - 12a(3)a³ + a²b -ab²-b³(4)a四次方 + a²b² + b四次方
问几道分解因式题目
(1) x³ - 6x² +12x-8
(2)7 + 8a - 12a
(3)a³ + a²b -ab²-b³
(4)a四次方 + a²b² + b四次方
问几道分解因式题目(1) x³ - 6x² +12x-8(2)7 + 8a - 12a(3)a³ + a²b -ab²-b³(4)a四次方 + a²b² + b四次方
1) x³ - 6x² +12x-8
=x³-6x²+8x+4x-8
=x(x-2)(x-4)+4(x-2)
=(x-2)(x²-4x+4)
=(x-2)(x-2)²
=(x-2)³
(2)7 + 8a - 12a²
=(7-6a)(1+2a)
(3)a³ + a²b -ab²-b³
=(a-b)(a²+ab+b²)+ab(a-b)
=(a-b)(a²+ab+b²+ab)
=(a-b)(a+b)²
(4)a四次方 + a²b² + b四次方
=a四次方 +2a²b² + b四次方-a²b²
=(a²+b²)²-a²b²
=(a²+b²+ab)(a²+b²-ab)