Question
Find the LCM.$$2 t^{3}-2, t^{2}-1$$
Step 1
The first expression $2t^{3}-2$ can be written as $2(t^{3}-1)$, which is a difference of cubes. The formula for the difference of cubes is $a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})$. Here, $a=t$ and $b=1$. So, we can factorize $2(t^{3}-1)$ as $2(t-1)(t^{2}+t+1)$. Show more…
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