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

Toán Lớp 8: phân tich đa thức thành nhân tử: a) 9(2x-5)-6y(5-2x) b) x^2-x-2016.2017 c) 2x^2-3x-5 d) x^3-x

Toán Lớp 8: phân tich đa thức thành nhân tử:
a) 9(2x-5)-6y(5-2x)
b) x^2-x-2016.2017
c) 2x^2-3x-5
d) x^3-x

Comments ( 2 )

  1. $a)9(2x-5)-6y(5-2x)\\=9(2x-5)+6y(2x-5)\\=(2x-5)(9+6y)$
    $b)x^2-x-2016.2017\\=x^2-2017x+2016x-2016.2017\\=x(x-2017)+2016(x-2017)\\=(x-2017)(x+2016)$
    $c)2x^2-3x-5\\=2x^2+2x-5x-5\\=2x(x+1)-5(x+1)\\=(x+1)(2x-5)$
    $d)x^3-x\\=x(x^2-1)\\=x(x-1)(x+1)$

  2. Lời giải và giải thích chi tiết:
    a)
    9.(2x-5)-6y.(5-2x)
    =9.(2x-5)+6y.[-(5-2x)]
    =9.(2x-5)+6y.(2x-5)
    =(9+6y)(2x-5)
    =3.(3+2y)(2x-5)
    b)
    x^2-x-2016.2017
    =x^2+2016x-2017x-2016.2017
    =(x^2+2016x)-(2017x+2016.2017)
    =x.(x+2016)-2017.(x+2016)
    =(x+2016)(x-2017)
    c)
    2x^2-3x-5
    =2x^2+2x-5x-5
    =2x.(x+1)-5.(x+1)
    =(2x-5)(x+1)
    d)
    x^3-x
    =x.(x^2-1)
    =x.(x-1)(x+1)

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

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