標題:
問數學題~~~~~~~~~
發問:
expand 1.(x+4)^2 3.(3+x)^3 5.(2x+1)^2 7.(2+3x)^2 9.[3(x-y)]^2 11.(x+4y)^2 13.3(4x+3y)^2 15.(11x+2t)^2 17.(x^2-8) 19.4(x^2+9)^2 21.(x^2-y^2)^2 23.(-x-y)^2 25.(xy+2)^2 27.(ab+3xy)^2 29.(x^3+3)^2 我要步驟和答案
最佳解答:
(x+4)2 =(x+4)(x+4) =x2+4x+4x+16 =x2+8x+16 3.(3+x)3 =(3+x)(3+x)(3+x) =(9+3x+3x+x2)(3+x) =27+18x+3x2+9x+6x2+x3 =x3+9x2+27x+27 5.(2x+1)2 =(2x)2+2x+2x+1 =4x2+4x+1 (2+3x)2 =4+6x+6x+9x2 =9x2+12x+4 9.[3(x-y)]2 =9(x-y)2 =9(x2-xy-xy+y2) =9x2-18xy+9y2 (x+4y)2 =x2+4xy+4xy+16y2 =x2+8xy+16y2 3(4x+3y)2 =3[(4x)2+12xy+12xy+(9y)2] =3(16x2+24xy+81y2) =48x2+72xy+243y2 15.(11x+2t)2 =121x2+44xt+4t2 17.(x2-8) =[x2-[2(2)^0.5]2] =[x-2(2)^0.5][x+2(2)^0.5] 19.4(x2+9)2 =4(x^4+18x2+81) =4x^4+72x2+324// 21.(x2-y2)2 =x^4-2x2 y2+y^4 23.(-x-y)2 =[-(x+y)]2 =(x+y)2 =x2+2xy+y2 25.(xy+2)2 =x2y2+4xy+4 27.(ab+3xy)2 =a2 b2+6xyab+9x2y2 29.(x3+3)2 =x^6+6x3+9
其他解答:
1.(x+4)^2 =(x+4)(x+4) =x^2+4x+4x+16 =x^2+8x+16// 3.(3+x)^3 =(3+x)(3+x)(3+x) =(9+3x+3x+x^2)(3+x) =27+18x+3x^2+9x+6x^2+x^3 =x^3+9x^2+27x+27// 5.(2x+1)^2 =(2x)^2+2x+2x+1 =4x^2+4x+1// 7.(2+3x)^2 =4+6x+6x+9x^2 =9x^2+12x+4// 9.[3(x-y)]^2 =9(x-y)^2 =9(x^2-xy-xy+y^2) =9x^2-18xy+9y^2// 11.(x+4y)^2 =x^2+4xy+4xy+16y^2 =x^2+8xy+16y^2// 13.3(4x+3y)^2 =3[(4x)^2+12xy+12xy+(9y)^2] =3(16x^2+24xy+81y^2) =48x^2+72xy+243y^2// 15.(11x+2t)^2 =121x^2+44xt+4t^2// 17.(x^2-8) =[x^2-[2(2)^0.5]^2] =[x-2(2)^0.5][x+2(2)^0.5]// 19.4(x^2+9)^2 =4(x^4+18x^2+81) =4x^4+72x^2+324// 21.(x^2-y^2)^2 =x^4-2x^2 y^2+y^4// 23.(-x-y)^2 =[-(x+y)]^2 =(x+y)^2 =x^2+2xy+y^2// 25.(xy+2)^2 =x^2y^2+4xy+4// 27.(ab+3xy)^2 =a^2 b^2+6xyab+9x^2y^2// 29.(x^3+3)^2 =x^6+6x^3+9//
問數學題~~~~~~~~~
發問:
expand 1.(x+4)^2 3.(3+x)^3 5.(2x+1)^2 7.(2+3x)^2 9.[3(x-y)]^2 11.(x+4y)^2 13.3(4x+3y)^2 15.(11x+2t)^2 17.(x^2-8) 19.4(x^2+9)^2 21.(x^2-y^2)^2 23.(-x-y)^2 25.(xy+2)^2 27.(ab+3xy)^2 29.(x^3+3)^2 我要步驟和答案
最佳解答:
(x+4)2 =(x+4)(x+4) =x2+4x+4x+16 =x2+8x+16 3.(3+x)3 =(3+x)(3+x)(3+x) =(9+3x+3x+x2)(3+x) =27+18x+3x2+9x+6x2+x3 =x3+9x2+27x+27 5.(2x+1)2 =(2x)2+2x+2x+1 =4x2+4x+1 (2+3x)2 =4+6x+6x+9x2 =9x2+12x+4 9.[3(x-y)]2 =9(x-y)2 =9(x2-xy-xy+y2) =9x2-18xy+9y2 (x+4y)2 =x2+4xy+4xy+16y2 =x2+8xy+16y2 3(4x+3y)2 =3[(4x)2+12xy+12xy+(9y)2] =3(16x2+24xy+81y2) =48x2+72xy+243y2 15.(11x+2t)2 =121x2+44xt+4t2 17.(x2-8) =[x2-[2(2)^0.5]2] =[x-2(2)^0.5][x+2(2)^0.5] 19.4(x2+9)2 =4(x^4+18x2+81) =4x^4+72x2+324// 21.(x2-y2)2 =x^4-2x2 y2+y^4 23.(-x-y)2 =[-(x+y)]2 =(x+y)2 =x2+2xy+y2 25.(xy+2)2 =x2y2+4xy+4 27.(ab+3xy)2 =a2 b2+6xyab+9x2y2 29.(x3+3)2 =x^6+6x3+9
其他解答:
1.(x+4)^2 =(x+4)(x+4) =x^2+4x+4x+16 =x^2+8x+16// 3.(3+x)^3 =(3+x)(3+x)(3+x) =(9+3x+3x+x^2)(3+x) =27+18x+3x^2+9x+6x^2+x^3 =x^3+9x^2+27x+27// 5.(2x+1)^2 =(2x)^2+2x+2x+1 =4x^2+4x+1// 7.(2+3x)^2 =4+6x+6x+9x^2 =9x^2+12x+4// 9.[3(x-y)]^2 =9(x-y)^2 =9(x^2-xy-xy+y^2) =9x^2-18xy+9y^2// 11.(x+4y)^2 =x^2+4xy+4xy+16y^2 =x^2+8xy+16y^2// 13.3(4x+3y)^2 =3[(4x)^2+12xy+12xy+(9y)^2] =3(16x^2+24xy+81y^2) =48x^2+72xy+243y^2// 15.(11x+2t)^2 =121x^2+44xt+4t^2// 17.(x^2-8) =[x^2-[2(2)^0.5]^2] =[x-2(2)^0.5][x+2(2)^0.5]// 19.4(x^2+9)^2 =4(x^4+18x^2+81) =4x^4+72x^2+324// 21.(x^2-y^2)^2 =x^4-2x^2 y^2+y^4// 23.(-x-y)^2 =[-(x+y)]^2 =(x+y)^2 =x^2+2xy+y^2// 25.(xy+2)^2 =x^2y^2+4xy+4// 27.(ab+3xy)^2 =a^2 b^2+6xyab+9x^2y^2// 29.(x^3+3)^2 =x^6+6x^3+9//
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