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

Toán Lớp 8: a) -2x (-2x + 2) – (x+ 2)^2 b) (x+ 2) (x^2- 2x+ 4) -2( x+1) (1-x) c) (2x-1)^2- 2( 4x^2-1) +(2x+1)^2 đề bài là rút gọn phép tính nhé !!!

Toán Lớp 8: a) -2x (-2x + 2) – (x+ 2)^2
b) (x+ 2) (x^2- 2x+ 4) -2( x+1) (1-x)
c) (2x-1)^2- 2( 4x^2-1) +(2x+1)^2
đề bài là rút gọn phép tính nhé !!!

Comments ( 2 )

  1. $a)-2x(-2x+2)-(x+2)^2$
    $=4x^2-4x-(x^2+4x+4)$
    $=4x^2-4x-x^2-4x-4$
    $=3x^2-8x-4$
    $b)(x+2)(x^2-2x+4)-2(x+1)(1-x)$
    $=x^3-8-2(1+x)(1-x)$
    $=x^3-8-2(1-x^2)$
    $=x^3-8-2+2x^2$
    $=x^3-10+2x^2$
    $c)(2x-1)^2-2(4x^2-1)+(2x+1)^2$
    $=(2x-1)^2-2(2x-1)(2x+1)+(2x+1)^2$
    $=[(2x-1)-(2x+1)]^2$
    $=(2x-1-2x-1)^2$
    $=(-2)^2$
    $=4$
    $#thanhmaii2008$

  2. Giải đáp:
    a) 3x^2 – 8x – 4
    b) x^3 + 2x^2 + 6
    c) 4
    Lời giải và giải thích chi tiết:
    a) – 2x( – 2x + 2) – (x + 2)^2
    = 4x^2 – 4x – (x^2 + 2.x.2 + 2^2)
    = 4x^2 – 4x – (x^2 + 4x + 4)
    = 4x^2 – 4x – x^2 – 4x – 4
    = (4x^2 – x^2) – (4x + 4x) – 4
    = 3x^2 – 8x – 4
    b)
    (x + 2)(x^2 – 2x + 4) – 2(x + 1)(1 – x)
    = (x + 2)(x^2 – x.2 + 2^2) + 2(x + 1)(x – 1)
    = (x^3 + 2^3) + 2(x^2 – 1^2)
    = (x^3 + 8) + 2(x^2 -1)
    = x^3 + 8 + 2x^2 – 2
    = x^3 + 2x^2 + (8 – 2)
    = x^3 + 2x^2 + 6
    c)
    (2x – 1)^2 – 2(4x^2 – 1) + (2x + 1)^2
    = (2x – 1)^2 – 2[(2x)^2 – 1] + (2x + 1)^2
    = (2x – 1)^2 – 2(2x – 1)(2x + 1) + (2x + 1)^2
    = [(2x – 1) – (2x + 1)]^2
    = (2x – 1 – 2x – 1)^2
    = ( – 2)^2
    = 4
    #SunHee

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