灵鹊做题网求这些题的答案 分解公因式
来源：学生作业帮 编辑：灵鹊做题网作业帮 分类：数学作业 时间：2024/04/30 02:47:57
求这些题的答案 分解公因式
(1) (x+5)²-4 = (x+5)²-2²=(x+5+2)(x+5-2)=(x+7)(x+3)
(2) (a²+b²)²-a²b² = (a²+b²)²-(ab)² = (a²+b²+ab) (a²+b²-ab)
(3) a²b²-2ab+1 = (ab)²-2ab+1²=(ab-1)²
(4) 4x²+4x+1 = (2x)²+2×2x+1²= (2x+1)²
(5) (a+b)²+6(a+b)+9 = (a+b)²+2×3×(a+b)+3² = (a+b+3)²
(6) a²-2a(b+c)+(b+c)² = [a-(b+c)]² = (a-b-c)²
(7) -a+2a²-a³ = -a(1-2a+a²) = -a(1-a)²
(8) 16a²b-16a³-4ab² = -4a(-4ab+4a²+b²) = -4a[(2a)²-2×2×ab+b²] = -4a(2a-b)²
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(2) (a²+b²)²-a²b² = (a²+b²)²-(ab)² = (a²+b²+ab) (a²+b²-ab)
(3) a²b²-2ab+1 = (ab)²-2ab+1²=(ab-1)²
(4) 4x²+4x+1 = (2x)²+2×2x+1²= (2x+1)²
(5) (a+b)²+6(a+b)+9 = (a+b)²+2×3×(a+b)+3² = (a+b+3)²
(6) a²-2a(b+c)+(b+c)² = [a-(b+c)]² = (a-b-c)²
(7) -a+2a²-a³ = -a(1-2a+a²) = -a(1-a)²
(8) 16a²b-16a³-4ab² = -4a(-4ab+4a²+b²) = -4a[(2a)²-2×2×ab+b²] = -4a(2a-b)²
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