Bài 1 a)a (a+b) + 3a – ab b) 4x-by+4y-bx c) 1- ax-x+a d) 25a^2 + 10a + 1 e)9x^2 – 24xy +16y^2 g) x^4 – y^4

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1. Đáp án:

   a)a (a+b) + 3a – ab= a²+ab+3a-ab=a²+ab+3a=a(a+b+2a)

   b) 4x-by+4y-bx =4(x+y)-b(y-x)

   c) 1- ax-x+a = (1-x)(a+1)

   d)25a^2 + 10a + 1= 5(5a²+2a)+1

   e)9x^2 – 24xy +16y^2 = 3( x²-8xy+5y²)-1

   g) x^4-y^4= (x+y)(x-y)(x²+y²)

    

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2. a)a (a+b) + 3a – ab

   =a^2+ab+3a-ab

   =a(a+3)
   b) 4x-by+4y-bx

   =4(x+y)-b(x+y)

   =(4-b)(x+y)
   c) 1- ax-x+a

   =1+a-x(a+1)

   =(1-x)(a+1)
   d) 25a^2 + 10a + 1

   =(5a+1)^2
   e)9x^2 – 24xy +16y^2

   =(3x-4y)^2
   g) x^4 – y^4

   =(x^2-y^2)(x^2+y^2)

   =(x+y)(x-y)(x^2+y^2)

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                       _Thiênlinh_

    

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