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２４條因式分解

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要有步驟的1. 2^2x-1=322. 25^x+4=1253. 2^3x+1=4^x+34.-xy+4x5.ab^2-a^2b6.-12x^2+4x7. 25m^2-10mn8.ac-3bc+3ad-9bd9. 2ax-bx-2ay+by10.2x^2-5y+2xy-5x11.x^2-x-xy+y12. x^2-81y^213.9x^2-64y^214.36x^2-415. (x-9)^2 -916. x^2-(y-3z)^217.x^2-3x+218. p^2+2p-319. x^2-8x+720.... 顯示更多 要有步驟的 1. 2^2x-1=32 2. 25^x+4=125 3. 2^3x+1=4^x+3 4.-xy+4x 5.ab^2-a^2b 6.-12x^2+4x 7. 25m^2-10mn 8.ac-3bc+3ad-9bd 9. 2ax-bx-2ay+by 10.2x^2-5y+2xy-5x 11.x^2-x-xy+y 12. x^2-81y^2 13.9x^2-64y^2 14.36x^2-4 15. (x-9)^2 -9 16. x^2-(y-3z)^2 17.x^2-3x+2 18. p^2+2p-3 19. x^2-8x+7 20. x^2-4x-5 21.y^2+10y-11 22. 2x^2-5x+3 23. 3a^2-4a-7 24. 2x^2+9x-5

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最佳解答:

1. 2^2x-1=32 2^2x-1=2^5 2x-1=5 2x=6 x=3 2. 25^x+4=125 5^2(x+4)=5^3 2(x+4)=3 2x+8=3 2x=-5 x=-2.5 3. 2^3x+1=4^x+3 2^3x+1=2^2(x+3) 3x+1=2(x+3) 3x+1=2x+6 x=5 4.-xy+4x =-x(y-4) 6.-12x^2+4x =-4x(3x-1) 7. 25m^2-10mn =5m(5m-2n) 2007-10-14 16:44:50 補充： 8.ac-3bc+3ad-9bd=(a-3b)(c+3d)9. 2ax-bx-2ay+by=(2a-b)(x-y)10.2x^2-5y+2xy-5x=(2x-5)(x+y)11.x^2-x-xy+y=(x-y)(x-1)12. x^2-81y^2=(x+9y)(x-9y) 2007-10-14 16:52:26 補充： 13.9x^2-64y^2=(3x+8y)(3x-8y)14.36x^2-4=4(9x^2-4)=4(3x+2)(3x-2)15.(x-9)^2 -9=x^2-81-9=x^2-9016.x^2-(y-3z)^2=x^2-y^2-9z^217.x^2-3x+2=(x-2)(x-1)18.p^2+2p-3=(p+3)(p-1)19.x^2-8x+7=(x-7)(x-1) 2007-10-14 16:53:06 補充： 20.x^2-4x-5=(x-5)(x+1)21.y^2+10y-11=(y-1)(y+11)22.2x^2-5x+3=(x-3)(2x-1)23.3a^2-4a-7=(3a-7)(a+1)24.2x^2+9x-5 =(2x-1)(x+5)22.2x^2-5x+3=(x-3)(2x-1)

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