a, \(x^2-100y^2\)
= \(x^2-(10y)^2\)
= \(\left(x-10y\right)\left(x+10y\right)\)
b, \(64x^3+1\)
= \(\left(4x\right)^3+1^3\)
= \(\left(4x+1\right)\left(16x^2-4x+1\right)\)
c, \(x^2-16x+64-9y^2\)
= \(\left(x-8\right)^2-9y^2\)
= \(\left(x-8-9y\right)\left(x-8+9y\right)\)