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

Toán Lớp 8: 15*/ x^2 – 2022x + 2021 16*/ 4x(x + 1)^2 – 5x^2 (x + 1) – 4(x+1) 17*/ (x + 2)( x + 3)( x + 4)( x + 5)-24 18*/ x^4 + 4

Toán Lớp 8: 15*/ x^2 – 2022x + 2021
16*/ 4x(x + 1)^2 – 5x^2 (x + 1) – 4(x+1)
17*/ (x + 2)( x + 3)( x + 4)( x + 5)-24
18*/ x^4 + 4

Comments ( 1 )

  1. $15$
    $=x^2-x-2021x+2021$
    $=x(x-1)-2021(x-1)$
    $=(x-1)(x-2021)$
    $16$
    $=(x+1)(4x(x+1)-5x^2-4)$
    $=(x+1)(-x^2+4x-4)$
    $=-(x+1)(x^2-4x+4)$
    $=-(x+1)(x-2)^2$
    $17$
    $=[(x+2)(x+5)][(x+3)(x+4)]-24$
    $=(x^2 + 7x +10)(x^2 + 7x +12)-24$
    $Đặt x^2+7x+11=a$
    $⇔=(a-1)(a+1)-24$
    $=a^2-25$
    $(a+5)(a-5)$
    $⇔=(x^2+7x+16)(x^2+7x +6)$
    $=(x^2+7x+16)(x^2++x+6x +6)$
    $(x^2+7x +6)[(x+1)x+6(x+1)]$
    $(x^2+7x +6)(x+1)(x+6)$
    $18$
    $=x4+2x^3+2x^2−2x^3−4x^2−4x+2x^2+4x+4$
    $=(x^2+2x+2).x^2 – 2x(x^2+2x+2)+2(x^2+2x+2)$
    $(x^2-2x+2)(x^2+2x+2)$

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

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