a²-2ab+b²-3²am+an+bm+bnx²-y²+ax+ay

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a²-2ab+b²-3²am+an+bm+bnx²-y²+ax+ay
a²-2ab+b²-3²
am+an+bm+bn
x²-y²+ax+ay

a²-2ab+b²-3²am+an+bm+bnx²-y²+ax+ay

a²-2ab+b²-3²
=(a-b)²-3²
=(a-b+3)(a-b-3)

am+an+bm+bn
=a(m+n)+b(m+n)
=(m+n)(a+b)

x²-y²+ax+ay
=(x+y)(x-y)+a(x+y)
=(x+y)(x-y+a)

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 a²-2ab+b²-3²
  = (a²-2ab+b²)-3²
  =(a-b)²-3²
  =(a-b+3)(a-b-3)
am+an+bm+bn
  = (am+an)+(bm+bn )
  =a(m+n)+b(m+n)
  =(m+n)(a+b)

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 a²-2ab+b²-3²
  = (a²-2ab+b²)-3²
  =(a-b)²-3²
  =(a-b+3)(a-b-3)
am+an+bm+bn
  = (am+an)+(bm+bn )
  =a(m+n)+b(m+n)
  =(m+n)(a+b)
x²-y²+ax+ay
  = (x²-y²)+(ax+ay )
  =(x+y)(x-y)+a(x+y)
  =(x+y)(x-y+a)

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