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15m^2n + 30mn= 15mn(m + 2)
55m^2n^3x + 110m^2n^3x^2 - 220m^2y^3= 55m^2(n^3x + 2n^3x^2 - 4y^3)
93m^3x^2y - 62m^2x^3y^2 - 124m^2x= 31m^2x(3mxy - 2x^2y^2 - 4)
x - x^2 + x^3 - x^4= x(1 - x) + x^3(1 - x)= (x + x^3)(1 - x)= x(1 + x^2)(1 - x)
x^2 - 1= (x + 1)(x - 1)
16m^6 - 36= (4m^3 + 6)(4m^3 - 6)
169 - m^12= (13 + m^6)(13 - m^6)
(z - 1)^3 - (z + 1)^3= z^3 - 3z^2 + 3z - 1 - z^3 - 3z^2 - 3z - 1= -6z^2 - 2= -2(3z^2 + 1)
1 + (2g - h)^3= 1 + 8g^3 - 13g^2h + 6gh^2 - h^3
1000p^3 - 1= (10p - 1)(100p^2 + 10p + 1)
27j^3 + 64n^9= (3j + 4n^3)(9j^2 - 12jn^3 + 16n^6)
512 + 27c^3= (8 + 3c)(64 - 24c + 9c^2)
49s^2 - 14s + 1s = (14 +- sqrt(196 - 196))/98s = 14/98
16m^2 + 40m + 25m = (-40 +- sqrt(1600 - 1600))/32m = 40/32
x^2 + 6x + 9= (x + 3)(x + 3)= (x + 3)^2