9a^2b^2—81a^2
=9a^2(b^2-9)
=9a^2(b+3)(b-3)
1/2x^4y^2—1/8x^2y^4
=1/8x^2y^2(4-y^2)
=(1/8)x^2y^2(2+y)(2-y)
9/25(x—y)^2-16x^2y^2
=(3x/5-3y/5+4xy)(3x/5-3y/5-4xy)
x^2—(x+y-z)^2
=(x+x+y-z)(x-x-x+z)
=(2x+y-z)(z-x)
x^3—x^5
=x^3(1-x^2)
=x^3(1+x)(1-x)
x^4n—y^2n
=(x^2n+y^n)(x^2n-y^n)