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

Toán Lớp 8: 6) y^2 (x^2 + y) − zx^2 − zy 7) x^3 + 8 + 6x(x + 2) 8) (5x − 4)^2 − 49x^2 9) x^2– 2xy + y^2 – xz + yz 10) 3 – 9x + 9x^2– 3x^3

Toán Lớp 8: 6) y^2 (x^2 + y) − zx^2 − zy
7) x^3 + 8 + 6x(x + 2)
8) (5x − 4)^2 − 49x^2
9) x^2– 2xy + y^2 – xz + yz
10) 3 – 9x + 9x^2– 3x^3

Comments ( 2 )

  1. 6, y^2(x^2 + y) – zx^2 – zy
    = y^2(x^2 + y) – (zx^2 + zy).
    = y^2(x^2 + y) – z(x^2 + y).
    = (x^2 + y)(y^2 – z).

    7, x^3 + 8 + 6x(x + 2)
    = (x^3 + 2^3) + 6x(x + 2).
    = (x + 2)(x^2 – 2x + 4) + 6x(x + 2).
    = (x + 2)(x^2 – 2x + 4 + 6x).
    = (x + 2)(x^2 + 4x + 4).
    = (x + 2)(x + 2)^2.

    8, (5x – 4)^2 – 49x^2
    = (5x – 4 + 7x)(5x – 4 – 7x)

    9, x^2 – 2xy + y^2 – xz + yz
    = (x^2 – 2xy +y^2) – z(x – y)
    = (x – y)^2 – z(x – y)
    = (x – y)(x – y – z)

    10, 3-9x+9x^2-3x^3
    =3(1-3x+3x^2-x^3)
    =3(1-x)^3
     

  2. 6, y^2(x^2 + y) – zx^2 – zy
    = y^2(x^2 + y) – (zx^2 + zy). 
    = y^2(x^2 + y) – z(x^2 + y).
    = (x^2 + y)(y^2 – z).

    7, x^3 + 8 + 6x(x + 2) 
    = (x^3 + 2^3) + 6x(x + 2).
    = (x + 2)(x^2 – 2x + 4) + 6x(x + 2).
    = (x + 2)(x^2 – 2x + 4 + 6x).
    = (x + 2)(x^2 + 4x + 4).
    = (x + 2)(x + 2)^2. 

    8, (5x – 4)^2 – 49x^2
    = (5x – 4 + 7x)(5x – 4 – 7x) 
    ( áp dụng hđt thứ ba ). 

    9, x^2 – 2xy + y^2 – xz + yz
    = (x^2 – 2xy +y^2) – z(x – y)
    = (x – y)^2 – z(x – y)
    = (x – y)(x – y – z)

    10, câu sai đề à bạn, check giúp mình nhé. 

    mình đang trục trặc xíu nên trình bày kí hiệu nhìn hơi rối, thông cảm nhé. 

    @nieucacvan.

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