difference of 2 perfect squares a^2-b^2=(a-b)(a+b) t^2-5^2=(t-5)(t+5) 2nd one
complete square take 1/2 of linear coefient and square it -6/2=-3, (-3)^2=9 add that to both sides x^2-6x+9=-8+9 x^2-6x+9=1 factor (x-3)^2=1 sqrt take neg and pos root x-3=+/-1 add 3 x=3+/-1 x=3+1 or x=3-1 x=4 or 2 3rd option