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

Toán Lớp 8: 1. -3ab.(a^2 – 3b) 2. (x^2 – 2xy + y^2) (x-2y) 3. (x+y+z) (x-y+z) 4. 12a^2b (a-b) (a+b) 5. (2x^2 – 3x + 5) (x^2 – 8x +2) 6. (x^2 – 1) (

Toán Lớp 8: 1. -3ab.(a^2 – 3b)
2. (x^2 – 2xy + y^2) (x-2y)
3. (x+y+z) (x-y+z)
4. 12a^2b (a-b) (a+b)
5. (2x^2 – 3x + 5) (x^2 – 8x +2)
6. (x^2 – 1) (x^2 + 2x)
không làm tắt dưới mọi hình thức

Comments ( 2 )

  1. Giải đáp:
     1, -3ab(a^2 – 3b)
    = -3ab .a^2 + (-3ab).(-3b)
    = -3a^3 b + 9ab^2
    2, (x^2 – 2xy + y^2)(x – 2y)
    = x^3 – 2x^2 y – 2x^2 y + 4xy^2 + xy^2 – 2y^3
    = x^3 + (-2x^2 y – 2x^2 y) + (4xy^2 + xy^2) – 2y^3
    = x^3 – 4x^2 y + 5xy^2 – 2y^3
    3, (x + y + z)(x – y + z)
    = (x + z + y)(x + z – y)
    = (x + z)^2 – y^2
    = x^2 + 2xz + z^2 –  y^2
    4, 12a^2 b (a – b)(a + b)
    = 12a^2 b (a^2 – b^2)
    = 12a^2 b .a^2 – 12a^2 b . b^2
    = 12a^4 b – 12a^2 b^3
    5, (2x^2 – 3x + 5)(x^2 – 8x + 2)
    = 2x^4 – 16x^3 + 4x^2 – 3x^3 + 24x^2 – 6x + 5x^2 – 40x + 10
    = 2x^4 + (-16x^3 – 3x^3) + (4x^2 + 24x^2 + 5x^2) + (-6x – 40x) + 10
    = 2x^4 – 19x^3 + 33x^2 – 46x + 10
    6, (x^2 – 1)(x^2 + 2x)
    = x^2 .x^2 + x^2 .2x – 1.x^2 – 1.2x
    = x^4 + 2x^3 – x^2 – 2x

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     1. 
    -3ab.(a²-3b) = -3a³b+9ab²
    2.
    (x² – 2xy + y²) (x-2y) = x³-2x²y-2x²y+4xy²+y²x-2y³
    = x³-2y³-4x²y+5xy²
    3. 
    (x+y+z) (x-y+z) = x²-xy+xz+xy-y²+yz +xz-yz-yz+z²
    = x²-y²+z²+2xz
    4. 
    12a^2b (a-b) (a+b) = 12a²b(a²-b²)
    = 12a^4b-12a²b³
    5. 
    (2x^2 – 3x + 5) (x^2 – 8x +2) = 2x^4-16x³+4x²-3x³+24x²-6x+5x²-40x+10
    = 2x^4-19x³+33x²-46x+10
    6. 
    (x^2 – 1) (x^2 + 2x)  = x^4+2x³-x²-2x

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