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

Toán Lớp 8: Phân tích đa thức thành nhân tử: a) (x+2)^2+ (x-2)^2+ (-16) b) 5x^3 – 5x c) 3x^2 + 5y-3xy -5x

Toán Lớp 8: Phân tích đa thức thành nhân tử:
a) (x+2)^2+ (x-2)^2+ (-16)
b) 5x^3 – 5x
c) 3x^2 + 5y-3xy -5x

Comments ( 2 )

  1. $\\$
    a,
    (x+2)^2+(x-2)^2-16
    =(x+2)^2 + (x-2)^2-4^2
    =(x+2)^2+(x-2-4)(x-2+4)
    =(x+2)^2+(x-6)(x+2)
    =(x+2)(x+2+x-6)
    =(x+2)(2x-4)
    =2(x+2)(x-2)
    b,
    5x^3-5x
    =5x(x^2-1)
    =5x(x-1)(x+1)
    c,
    3x^2+5y-3xy-5x
    =(3x^2-3xy)+(5y-5x)
    =3x(x-y) – 5(x-y)
    =(3x-5)(x-y)

  2. a,(x+2)^2+(x-2)^2-16
    =(x+2)^2+(x-2)^2-4^2
    =(x+2)^2+(x-2-4)(x-2+4)
    =(x+2)^2+(x-6)(x+2)
    =(x+2)[(x+2)+(x-6)]
    =(x+2)(x+2+x-6)
    =(x+2)(2x-4)
    =2(x+2)(x-2)
    b, 5x^3-5x
    =5x(x^2-1)
    =5x(x-1)(x+!)
    c, 3x^2+5y-3xy-5x
    =(3x^2-3xy)+(5y-5x)
    =3x(x-y)+5(y-x)
    =3x(x-y)-5(x-y)
    =(3x-5)(x-y)
     

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

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