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

Toán Lớp 8: Thực hiện phép tính a) `(2x+3)^2 – 2x(2x+6)-`5 b) `(x+3)^3-125` c) `(x-1)(x+1)- x(x+5)` d) `3x(x^2-x) -3x^3 +x(x-2)`

Toán Lớp 8: Thực hiện phép tính
a) (2x+3)^2 – 2x(2x+6)-5
b) (x+3)^3-125
c) (x-1)(x+1)- x(x+5)
d) 3x(x^2-x) -3x^3 +x(x-2)

Comments ( 2 )

  1. Giải đáp:
    a)4
    b)x^3+9x^2+27x-98
    c)-5x-1
    d)-2x^2-2x
    Lời giải và giải thích chi tiết:
    a)(2x+3)^2-2x(2x+6)-5
    =4x^2+12x+9-4x^2-12x-5
    =(4x^2-4x^2)+(12x-12x)+(9-5)
    =4
    (x+3)^2-125
    =(x+3)^3-5^3
    =(x+3-5)[(x+3)^2+5(x+3)+5^2]
    =(x-2)(x^2+6x+9+5x+15+25)
    =(x-2)(x^2+11x+49)
    =x^3+11x^2+49x-2x^2-22x-98
    =x^3+9x^2+27x-98
    c)(x-1)(x+1)-x(x+5)
    =x^2-1-x^2-5x
    =-5x-1
    d)3x(x^2-x)-3x^3+x(x-2)
    =3x^3-3x^2-3x^3+x^2-2x
    =-2x-2x

  2. a) (2x+3)^2-2x(2x+6)-5
    =4x^2+12x+9-4x^2-12x-5
    =(4x^2-4x^2)+(12x-12x)+(9-5)
    =4
    b) (x+3)^3-125
    =(x+3)^3-5^3
    =(x+3-5)[(x+3)^2+5(x+3)+5^2]
    =(x-2)(x^2+6x+9+5x+15+25)
    =(x-2)(x^2+11x+49)
    =x^3+11x^2+49x-2x^2-22x-98
    =x^3+9x^2+27x-98
    c) (x-1)(x+1)-x(x+5)
    =x^2-1-x^2-5x
    =-5x-1
    d) 3x(x^2-x)-3x^3+x(x-2)
    =3x^3-3x^2-3x^3+x^2-2x
    =-2x^2-2x
     

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

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