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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: viết dưới dạng tích (2x+1)^2-(2x-1)^2 (a+b)^3-(a-b)^3 (x-2)^3-(x+2)^3

Toán Lớp 8: viết dưới dạng tích
(2x+1)^2-(2x-1)^2
(a+b)^3-(a-b)^3
(x-2)^3-(x+2)^3

Comments ( 2 )

  1. \qquad (2x+1)^2-(2x-1)^2
    =[(2x+1)-(2x-1)][(2x+1)+(2x-1)]
    =(2x+1-2x+1)(2x+1+2x-1)
    =2.4x
    =8x
    ———————————-
    \qquad (a+b)^3-(a-b)^3
    =[(a+b)-(a-b)][(a+b)^2+(a+b)(a-b)+(a-b)^2]
    =(a+b-a+b)(a^2+2ab+b^2+a^2-b^2+a^2-2ab+b^2)
    =2b(3a^2+b^2)
    ———————————-
    \qquad (x-2)^3-(x+2)^3
    =[(x-2)-(x+2)][(x-2)^2+(x-2)(x+2)+(x+2)^2]
    =(x-2-x-2)(x^2-4x+4+x^2-4+x^2+4x+4)
    =-4(3x^2+4)
     

  2. (2x+1)^2-(2x-1)^2
    =(2x+1-2x+1)(2x+1+2x-1)
    =2.4x
    =8x
    (a+b)^3-(a-b)^3
    =(a+b-a+b)(a²+2ab+b²+a²-b²+a²-2ab+b²)
    =2b(3a²+b²)
    (x-2)^3-(x+2)^3
    =(x-2-x-2)(x²-4x+4+x²-4+x²+4x+4)
    =-4(3x²+4)
     

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222-9+11+12:2*14+14 = ? ( )