x^2-10+3x
=(x+5)(x-2)
t^2-7t-60
=(t-12)(t+5)
(x-1)(x+2)-10
=x^2+x-2-10
=x^2+x-12
=(x-4)(x+3)
m^2n^2-4mn-5
=(mn-5)(mn+1)
(x^2-2x)-11(x^2-2x)+24
=(x^2-2x-3)(x^2-2x-8)
=(x-3)(x+1)(x-4)(x+2)