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

Toán Lớp 8: e. x^3-4x^2-8x+8 f. x^2(x-1)-4x^2+8x-4 cảm ơn trước ạ

Toán Lớp 8: e. x^3-4x^2-8x+8
f. x^2(x-1)-4x^2+8x-4
cảm ơn trước ạ

Comments ( 2 )

  1. e, $x^3-4x^2-8x+8$
    $=x^3+2x^2-6x^2-12x+4x+8$
    $=x^2(x+2)-6x(x+2)+4(x+2)$
    $=(x^2-6x+4)(x+2)$
    ————————
    f, $x^2(x-1)-4x^2+8x-4$
    $=x^2(x-1)-4x^2+4x+4x-4$
    $=x^2(x-1)-4x(x-1)+4(x-1)$
    $=(x^2-4x+4)(x-1)$
    $=(x-2)^2(x-1)$

  2. ***Lời giải***
    e.
    x^3-4x^2-8x+8
    =x^3-6x^2+2x^2+4x-12x+8
    =x^3-6x^2+4x+2x^2-12x+8
    =x(x^2-6x+4)+2(x^2-6x+4)
    =(x+2)(x^2-6x+4)
    f)
    x^2(x-1)-4x^2+8x-4
    =x^2(x-1)-4(x^2-2x+1)
    =x^2(x-1)-4(x-1)^2
    =(x-1)[x^2-4(x-1)]
    =(x-1)(x^2-4x+4)
    =(x-1)(x-2)^2

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