因式分解练习题1.3x^6-3x^22.(a^2-2b)^2-(1-2b)^23.9x^4-36y^24.4(x+y)^

学习 时间:2026-03-31 17:50:32 阅读:8044
因式分解练习题1.3x^6-3x^22.(a^2-2b)^2-(1-2b)^23.9x^4-36y^24.4(x+y)^2-(x-y)^25.x^2-36.x^2-5y^2

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英俊的巨人

欢呼的黄蜂

2026-03-31 17:50:32

1。3x^6-3x^2
=3x^2(x^4-1)
=3x^2(x^2+1)(x^2-1)
=3x^2(x^2+1)(x+1)(x-1)
2。(a^2-2b)^2-(1-2b)^2
=(a^2-2b+1-2b)( a^2-2b-1+2b)
=(a^2+1)(a^2-1)
=(a^2+1)(a+1)(a-1)
3。9x^4-36y^2
=9(x^4-4y^2)
=9(x^2+2y)(x^-2y)
4。4(x+y)^2-(x-y)^2
=^2-(x-y)^2
(2x+2y+x-y)(2x+2y-x+y)
=(3x+y)(x+3y)
5。x^2-3
=(x+根号3)(x-根号3)
6。x^2-5y^2
=(x+根号5

最新回答共有2条回答

  • 健壮的黑裤
    回复
    2026-03-31 17:50:32

    1。3x^6-3x^2=3x^2(x^4-1)=3x^2(x^2+1)(x^2-1)=3x^2(x^2+1)(x+1)(x-1) 2。(a^2-2b)^2-(1-2b)^2=(a^2-2b+1-2b)( a^2-2b-1+2b)=(a^2+1)(a^2-1)=(a^2+1)(a+1)(a-1)3。9x^4-36y^2=9(x^4-4y^2)=9(x^2+2y)(x^-2y) 4。4(x+y)^2-(x-y)^2=^2-(x-y)^2(2x+2y+x-y)(2x+2y-x+y)=(3x+y)(x+3y) 5。x^2-3=(x+根号3)(x-根号3) 6。x^2-5y^2=(x+根号5

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