(m-n)^2010-16(m-n)^2011
=(m-n)^2010·[1-16(m-n)]
0.5x^2-8ax+32a^2
=0.5[x²-16ax+64a²]
=0.5(x-8a)²
a^2-(b^2+c^2-2bc)
=a²-(b-c)²
=(a-b+c)(a+b-c)
x^2(x^2-y^2)+z^2(y^2-x^2)
=(x²-y²)(x²-z²)
=(x-y)(x+y)(x-z)(x+z)
(a+2)(a+4)+1
=a²+6a+9
=(a+3)²
(a+b)^2+4(a+b+1)
=(a+b)²+4(a+b)+4
=(a+b+2)²