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

Toán Lớp 8: phân tích đa thức thành nhân tử: a.16x^4-1 b.81y^2-(y^2+6y)^2 c.a(a-b)^2-(b-a)^3 d. 4a^2b^3+2ab^2 tlhn,co,5vt

Toán Lớp 8: phân tích đa thức thành nhân tử:
a.16x^4-1
b.81y^2-(y^2+6y)^2
c.a(a-b)^2-(b-a)^3
d. 4a^2b^3+2ab^2
tlhn,co,5vt

Comments ( 2 )

  1. ~rai~
    \(a)16x^4-1\\=(4x^2)-1^2\\=(4x^2-1)(4x^2+1)\\=[(2x)^2-1^2](4x^2+1)\\=(2x-1)(2x+1)(4x^2+1).\\b)81^2-(y^2+6y)^2\\=(9y)^2-(y^2+6y)^2\\=(9y+y^2+6y)(9y-y^2-6y)\\=(y^2+15y)(-y^2+3y)\\=y^2(y+15)(3-y).\\c)a(a-b)^2-(b-a)^3\\=a(a-b)^2+(a-b)^3\\=(a-b)^2(a+a-b)\\=(a-b)^2(2a-b).\\d)4a^2b^3+2ab^2\\=2ab^2(2ab+b).\)
     

  2. a) 16x^4-1
    =(4x^2)^2-1
    =(4x^2-1)(4x^2+1)
    =(2x-1)(2x+1)(4x^2+1)
    b) 81y^2-(y^2+6y)^2
    =(9y)^2-(y^2+6y)^2
    =(9y-y^2-6y)(9y+y^2+6y)
    =(3y-y^2)(y^2+15y)
    =y^2(3-y)(y+15)
    c) a(a-b)^2-(b-a)^3
    =a(a-b)^2+(a-b)^3
    =(a-b)^2(a+a-b)
    =(a-b)^2(2a-b)
    d) 4a^2b^3+2ab^2
    =2ab^2(2ab+b)

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