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

Toán Lớp 8: Rút gọn biểu thức a) E=(2x + 3) – 2(2x + 3)(2x + 5) +(2x +5)^2 b) F=(x^2+x+1)(x^2-x+1)(x^2-1)

Toán Lớp 8: Rút gọn biểu thức
a) E=(2x + 3) – 2(2x + 3)(2x + 5) +(2x +5)^2
b) F=(x^2+x+1)(x^2-x+1)(x^2-1)

Comments ( 2 )

  1. a) E=(2x + 3) – 2(2x + 3)(2x + 5) +(2x +5)^2
    = 2x + 3 – (4x +6 )(2x + 5) + 4x^2 +20x + 25
    = 2x + 3 – (8x^2 +12x + 20x + 30) +4x^2 +20x + 25
    =4x^2 + 22x + 28 – 8x^2 – 12x – 20x – 30
    = 4x^2 + 22x + 28 – 8x^2 -32x – 30
    =-4x^2 – 10x – 2
    b) F=(x^2+x+1)(x^2-x+1)(x^2-1)
    =(x-1)(x+1)(x^2+x+1)(x^2-x+1)
    =(x-1)^3(x+1)^3
    =[(x^3)^2-1^2]
    =x^6-1
    Xin hay nhất

  2. a)E=(2x+3)-2(2x+3)(2x+5)+(2x+5)^2
    =2x+3-2(4x^2+10x+6x+15)+4x^2+20x+25
    =2x+3-8x^2-32x-30+4x^2+20x+25
    =-4x^2-10x-2
    b)F=(x^2+x+1)(x^2-x+1)(x^2-1)
    =(x^2+x+1)(x^2-x+1)(x-1)(x+1)
    =(x-1)(x^2+x+1)(x+1)(x^2-x+1)
    =(x^3-1)(x^3+1)
    =x^6-1.

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

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