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

Toán Lớp 8: Rút gọn các biểu thức: a) (3x-5) . (2x ² – x + 4) b) (2x – 1)(2x + 1) – 4x(x-3) – 5x

Toán Lớp 8: Rút gọn các biểu thức:
a) (3x-5) . (2x ² – x + 4)
b) (2x – 1)(2x + 1) – 4x(x-3) – 5x

Comments ( 2 )

  1. a) (3x-5) . (2x ² – x + 4)
    = $6x^{3}$ -$3x^{2}$ +12x-$10x^{2}$ +5x-20
    = $6x^{3}$-$13x^{2}$ +17x-20
    b) (2x – 1)(2x + 1) – 4x(x-3) – 5x
    = $4x^{2}$-1 -$4x^{2}$ +12x-5x
    =-1+7x
    = 7x-1

  2. Giải đáp:
    a) 6x^3 – 13x^2 + 17x – 20
    b) 7x – 1
    Lời giải và giải thích chi tiết:
    a)
    (3x – 5)(2x^2 – x + 4)
    = 3x(2x^2 – x + 4)- 5(2x^2 – x + 4)
    = 6x^3 – 3x^2 + 12x – 10x^2 + 5x – 20
    = 6x^3 – (3x^2 + 10x^2) + (12x + 5x) – 20
    = 6x^3 – 13x^2 + 17x – 20
    $\\$
    b)
    (2x – 1)(2x + 1) – 4x(x – 3) – 5x
    = [(2x)^2 – 1] – 4x^2 + 12x – 5x
    = (4x^2 – 1) – 4x^2 + 7x
    = 4x^2 – 1 – 4x^2 + 7x
    = (4x^2 – 4x^2) + 7x – 1
    = 7x – 1
    #SunHee

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