Question

分解因式 9a-a³

9a-a³ 2. 2x²-12x+18 3. 2x²-4x+2 4. x³-2x²y+xy² 5. xy²-9x 6. 2a³-8a求大神教教

Answer 1

解: 1. 9a-a³
=a(9-a²)
=a(3+a)(3-a)

2. 2x²-12x+18
=2(x²-6x+9)
=2(x-3)²

3. 2x²-4x+2
=2(x²-2x+1)
=2(x-1)²

4. x³-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²

5. xy²-9x
=x(y²-9)
=x((y+3)(y-3)

6. 2a³-8a
=2a(a²-4)
=2a(a+2)(a-2)

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Answer 2

9a-a³ =a(9-a^2)=a(3+a)(3-a)
2x²-12x+18 =2(x^2-6x+9)=2(x-3)^2
2x²-4x+2 =2(x^2-2a+1)=2(x-1)^2
x³-2x²y+xy²=x(x^2-2xy+y^2)=x(x-y)^2
xy²-9x =x(x^2-9)=x(x+3)(x-3)
2a³-8a=2a(a^2-4)=2a(a+2)(a-2)