Good day, i have this exercise:
$(t + k)^{3} - t - k$ , and i must factor it.
I try this:
$(t + k)(t^2 -tk + k^2) - (t + k)$
but obviously it is not yet fully factored. The parenthesis that is trinomial, looks like a binomial square, but it is not, since the second term is not $(2 * t * k)$, since if it were, $t$ or $k$ should be $1/2$ and therefore in its roots it would come out $1/4$
I tried to look for help in symbolab, but says it can not be factored anymore.
so, how i can factor it? , The final factoring should be:
$(t + k)(t + k + 1)(t +k -1)$
I try this
You got the sign wrong there, $\,-t-k=-(t\color{red}{+}k)\,$. $\endgroup$