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

Toán Lớp 8: Phân tích đa thức thành nhân tử: a, a^4+a ³-a ³b – b^4 b,(a-b) ²-(b-a).(a+b) c,1-ax-x+a d, ay-ax-2x+2y

Toán Lớp 8: Phân tích đa thức thành nhân tử:
a, a^4+a ³-a ³b – b^4
b,(a-b) ²-(b-a).(a+b)
c,1-ax-x+a
d, ay-ax-2x+2y

Comments ( 2 )

  1. a) $a^{4}$ + ab³ – a³b – $b^{4}$ 
    = a³(a – b) + b³(a – b)
    = (a – b)(a³ + b³)
    = (a – b)(a + b)(a² – ab + b²)
    b) (a – b)² – (b – a)(a + b)
    = (a – b)² + (a – b)(a + b)
    = (a – b)(a – b + a + b)
    = 2a(a – b)
    c) 1 – ax – x + a
    = -x(a + 1) + (1 + a)
    = (a + 1)(-x + 1)
    d) ay – ax – 2x + 2y
    = a(y – x) – 2(x – y)
    = a(y – x) + 2(y – x)
    = (y – x)(a + 2)
    Chúc bạn học tốt
     

  2. a/ a^4+ab^3-a^3b-b^4
    = (a^4-a^3b)-(ab^3-b^4)
    = a^3(a-b)-b^3(a-b)
    = (a^3-b^3)(a-b)
    b/ (a-b)^2-(b-a)(a+b)
    = (b-a)^2-(b-a)(b+a)
    = (b-a)(b-a-b-a)
    = -2a(b-a)
    c/ 1-ax-x+a
    = (1+a)-(x+ax)
    = (1+a)-x(1+a)
    = (1-x)(1+a)
    d/ ay-ax-2x+2y
    = -(ax+2x)+(ay+2y)
    = -x(a+2)+y(a+2)
    = (-x+y)(a+2)

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

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