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

Toán Lớp 8: Rút gọn: a,(a+b)^3+(a-b)^3-2a^2(a+1) b,(2x-1)^3-(2x+1)^3-5x(x-3) c,(x+2)^3+(x-2)^3-2x(x^2+12) d,(2a+3b)^3-(2a-3b)^3+3(2a-b)(2a+b)

Toán Lớp 8: Rút gọn:
a,(a+b)^3+(a-b)^3-2a^2(a+1)
b,(2x-1)^3-(2x+1)^3-5x(x-3)
c,(x+2)^3+(x-2)^3-2x(x^2+12)
d,(2a+3b)^3-(2a-3b)^3+3(2a-b)(2a+b)

Comments ( 2 )

  1. Giải đáp:
    ↓↓
    Lời giải và giải thích chi tiết:
    a)
    (a+b)^3+(a-b)^3-2a^2(a+1)
    =a^3+b^3+3.a^2. b+ 3.ab^2+a^3-3.a^2b+3.ab^3-b^3-2a^3-2a^2
    =6ab^2-2a^2
    b)
    (2x-1)^3-(2x+1)^3-5x(x-3)
    =8x^3-3.4x^2 .1+3.2x.1^2-1-(8x^3+3.4x^2. 1+3.2x.1^2+1)-5x^2+15
    =8x^3-12x^2+6x-1-8x^3-12x^2-6x-1-5x^2+15
    =-29x^2+13
    c)
    (x+2)^3+(x-2)^3-2x(x^2+12)
    =x^3+6x^2+12x+8+x^3-6x^2+12x-8-2x^3-24x
    =0
    d)
    (2a+3b)^3-(2a-3b)^3+3(2a-b)(2a+b)
    =8a^3+36a^2b+54ab^2+27b^3-(8a^3-36a^2b+54ab^2-27b^3)+3(4a^2-b^2)
    =8a^3+36a^2b+54ab^2+27b^3-8a^3+36a^2b-54ab^2+27b^3+12a^2-3b^2
    =72a^2b+54b^3+12a^2-3b^2 .

  2. Giải đáp+Lời giải và giải thích chi tiết:
    a)(a+b)^3+(a-b)^3-2a^2 (a+1)
    =a^3+3a^2 b+3ab^2+b^3+a^3-3a^2 b+3ab^2-b^3-2a^3-2a^2
    =6ab^3-2a^2
    b)(2x-1)^3-(2x+1)^3-5x(x-3)
    =8x^3-12x^2+6x-1-8x^3-12x^2-6x-1-5x^2+15x
    =-29x^2+15x-2
    c)(x+2)^3+(x-2)^3-2x(x^2+12)
    =x^3+6x^2+12x+8+x^3-6x^2+12x-8-2x^3-24x
    =0
    d)(2a+3b)^3-(2a-3b)^3+3(2a-b)(2a+b)
    =8a^3+36a^2 b+54ab^2+27b^3-8a^3+36a^2 b-54ab^2+27b^3+3(4a^2-b^2)
    =72a^2 b+54b^3+12a^2-3b^2
    =54b^3+72a^2 b+12a^2-3b^2

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

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