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

Toán Lớp 8: Giúp với ạ. Cảm ơn nhiều c) (x² – 9)² – (x + 3)(x − 3)(x² + 9) d) (x² + x – 3)(x² – – x + 3). 6. Tìm x: a) 4x(3x – 7) – 6(2x² – 5x + 1)

Toán Lớp 8: Giúp với ạ. Cảm ơn nhiều
c) (x² – 9)² – (x + 3)(x − 3)(x² + 9)
d) (x² + x – 3)(x² – – x + 3).
6. Tìm x:
a) 4x(3x – 7) – 6(2x² – 5x + 1) = 12
b) (5x + 3)(4x – 1) + (10x – 7)(-2x + 3) = 27
c) (8x – 5)(3x + 2) – (12x + 7)(2x – 1) = 17
d) (5x + 9)(6x – 1)- (2x – 3)(15x + 1) = -190.

Comments ( 2 )

  1. Giải đáp: + Lời giải và giải thích chi tiết:
    c)
    (x^2-9)^2 – (x+3)(x-3)(x^2+9)
    = x^4 – 18x^2 + 81 – (x+3)(x-3)(x^2+9)
    = x^4 – 18x^2 + 81 – x^4 + 81
    = (x^4-x^4)-18x^2+(81+81)
    = -18x^2 + 162
    d)
    (x^2+x-3)(x^2-x+3)
    = x^2x^2 + x^2(-x) + x^2 * 3 + x^3 + x(-x) + x*3-3x^2-3(-x)-3*3
    = x^4 – x^2 + 6x – 9
    *Áp dụng :
    (a+b)(x+y+z)=ax+ay+az+bx+by+bz
    Câu 6 :
    a)
    4x(3x-7)-6(2x^2-5x+1)=12
    ⇔ 12x^2 – 28x – 6(2x^2-5x+1) = 12
    ⇔ 12x^2 – 28x – 12x^2 + 30x – 6 = 12
    ⇔ (12x^2-12x^2)+(30x-28x)-6=12
    ⇔ 2x – 6 = 12
    ⇔ 2x = 18
    ⇔ x = 9
    Vậy S = {9}
    b)
    (5x+3)(4x-1)+(10x-7)(-2x+3)=27
    ⇔ 20x^2 + 7x – 3 +(10x-7)(-2x+3) = 27
    ⇔ 20x^2 + 7x – 3- 20x^2 + 44x – 21 = 27
    ⇔ (20x^2-20x^2) + (7x+44x) – (21 + 3) = 27
    ⇔ 51x – 24 = 27
    ⇔ 51x = 51
    ⇔ x = 1
    Vậy S = {1}
    c)
    (8x-5)(3x+2)-(12x+7)(2x-1)=17
    ⇔ 24x^2 + x – 10 – (12x+7)(2x-1) = 17
    ⇔ 24x^2 + x – 10 – 24x^2 – 2x +7 = 17
    ⇔ (24x^2-24x^2)+(x-2x)-(10-7) = 17
    ⇔ -x – 3 = 17
    ⇔ -x = 20
    ⇔ x = -20
    Vậy S = {-20}
    d)
    (5x+9)(6x-1)-(2x-3)(15x+1)=-190
    ⇔ 30x^2 + 49x – 9 – (2x-3)(15x+1) = -190
    ⇔ 30x^2 + 49x – 9 – 30x^2 + 43x + 3 = -190
    ⇔ (30x^2-30x^2)+(49x+43x)-(9-3) = -190
    ⇔ 92x – 6 = -190
    ⇔ 92x = -184
    ⇔ x = -2
    Vậy S = {-2}

  2. c)(x^2-9)^2-(x+3)(x-3)(x²+9)
    =(x^2-9)^2-(x^2-9)(x^2+9)
    =(x^2-9)[(x^2-9)-(x^2+9)]
    =(x^2-9)(x^2-9-x^2-9)
    =-18(x^2-9)
    =-18x^2+162
    d)(x²+x-3)(x²-x+3)
    =[x²+(x-3)][x²-(x-3)]
    =(x^2)^2-(x-3)^2
    =x^4-(x²-6x+9)
    =x^4-x²+6x-9
    6.
    a)4x(3x-7)-6(2x²-5x+1)=12
    ⇔12x²-28x-12x²+30x-6=12
    ⇔(12x²-12x²)+(-28x+30x)-6=12
    ⇔2x-6=12
    ⇔2x=12+6
    ⇔2x=18
    ⇔x=18:2
    ⇔x=9
    Vậy x=9
    b)(5x+3)(4x-1)+(10x-7)(-2x+3)=27
    ⇔20x²-5x+12x-3-20x²+30x+14x-21=27
    ⇔(20x²-20x²)+(-5x+12x+30x+14x)+(-3-21)=27
    ⇔51x-24=27
    ⇔51x=27+24
    ⇔51x=51
    ⇔x=51:51
    ⇔x=1
    Vậy x=1
    c)(8x-5)(3x+2)-(12x+7)(2x-1)=17
    ⇔24x²+16x-15x-10-(24x²-12x+14x-7)=17
    ⇔24x²+16x-15x-10-24x²+12x-14x+7=17
    ⇔(24x²-24x²)+(16x-15x+12x-14x)+(-10+7)=17
    ⇔-x-3=17
    ⇔-x=17+3
    ⇔-x=20
    ⇔x=-20
    Vậy x=-20
    d)(5x+9)(6x-1)-(2x-3)(15x+1)=-190
    ⇔30x²-5x+54x-9-(30x²+2x-45x-3)=-190
    ⇔30x²-5x+54x-9-30x²-2x+45x+3=-190
    ⇔(30x²-30x²)+(-5x+54x-2x+45x)+(-9+3)=-190
    ⇔92x-6=-190
    ⇔92x=-190+6
    ⇔92x=-184
    ⇔x=(-184):92
    ⇔x=-2
    Vậy x=-2

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