標題:
發問:
x^2+22x+121 m^2-6m-55 2x^2-40x+200 -9+y^2 24x^3+375y^3 （搵唔到L.C.M） (2x+3)^2-(x-5)^2 （乘唔到入去，應該用邊條公式）
最佳解答:
x^2+22x+121 =(x+11)^2 m^2-6m-55 =(x-11) (x+5) 2x^2-40x+200 =2(x^2-20x+100) =2(x-10)^2 -9+y^2 =y^2-9 =(y-3) (y+3) 24x^3+375y^3 =3(8x^3+125y^3) =3(2x+5y) (4x^2-10xy+25y^2) (2x+3)^2-(x-5)^2 =4x^2+12x+9-(x^2-10x+25) =4x^2+12x+9-x^2+10x-25 =3x^2+22x-16 =(3x-2)(x+8)
其他解答:
F.2 Maths x^2 22x 121 =x^2 2(11)(x) 11^2 =(x 11)^2 m -11 m 5 ------------- -11m 5m =-6m m^2-6m-55 =(m-11)(m 5) 2x^2-40x 200 =2[x^2-20x 100] =2(x 10)^2 -9 y^2 =-(9-y^2) =-(3 y)(3-y) a^3 b^3=(a b)(a^2-ab b^2 24x^3 375y^3 =3[8x^3 125y^3] =3(2x 5y)(4x^2-10xy 25y^2) a^2-b^2=(a b)(a-b) (2x 3)^2-(x-5)^2 =[(2x 3) (x-5)][(2x 3)-(x-5)] =(3x-2)(x 8) 你自己可以試下做 &試下做其他例子 2008-09-28 19:27:33 補充： a^2-b^2=(a b)(a-b) (a-b)^2=(a^2-2ab-b^2) (a+b)^2=(a^2+2ab+b^2) a^3-b^3=(a-b)(a^2+ab-b^2) a^3+b^3=(a+b)(a^2-ab+b^2) 可以參考下上面的公式
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F.2 Maths發問:
x^2+22x+121 m^2-6m-55 2x^2-40x+200 -9+y^2 24x^3+375y^3 （搵唔到L.C.M） (2x+3)^2-(x-5)^2 （乘唔到入去，應該用邊條公式）
最佳解答:
x^2+22x+121 =(x+11)^2 m^2-6m-55 =(x-11) (x+5) 2x^2-40x+200 =2(x^2-20x+100) =2(x-10)^2 -9+y^2 =y^2-9 =(y-3) (y+3) 24x^3+375y^3 =3(8x^3+125y^3) =3(2x+5y) (4x^2-10xy+25y^2) (2x+3)^2-(x-5)^2 =4x^2+12x+9-(x^2-10x+25) =4x^2+12x+9-x^2+10x-25 =3x^2+22x-16 =(3x-2)(x+8)
其他解答:
F.2 Maths x^2 22x 121 =x^2 2(11)(x) 11^2 =(x 11)^2 m -11 m 5 ------------- -11m 5m =-6m m^2-6m-55 =(m-11)(m 5) 2x^2-40x 200 =2[x^2-20x 100] =2(x 10)^2 -9 y^2 =-(9-y^2) =-(3 y)(3-y) a^3 b^3=(a b)(a^2-ab b^2 24x^3 375y^3 =3[8x^3 125y^3] =3(2x 5y)(4x^2-10xy 25y^2) a^2-b^2=(a b)(a-b) (2x 3)^2-(x-5)^2 =[(2x 3) (x-5)][(2x 3)-(x-5)] =(3x-2)(x 8) 你自己可以試下做 &試下做其他例子 2008-09-28 19:27:33 補充： a^2-b^2=(a b)(a-b) (a-b)^2=(a^2-2ab-b^2) (a+b)^2=(a^2+2ab+b^2) a^3-b^3=(a-b)(a^2+ab-b^2) a^3+b^3=(a+b)(a^2-ab+b^2) 可以參考下上面的公式
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