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Factor t^3-8. t3 − 8 t 3 - 8. Rewrite 8 8 as 23 2 3. t3 − 23 t 3 - 2 3. Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 + ab+b2) a 3 - b 3 = (a - b) (a 2 + a b + b 2) where a = t a = t and b = 2 b = 2. (t−2)(t2 +t⋅2+22) (t - 2) (t 2 + t ⋅ 2 + 2 2) Simplify.
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Rewrite T^{3}-8 as T^{3}-2^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial T^{2}+2T+4 is not factored since it does not have any rational roots.
To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes.
1. Here, we show you a step-by-step solved example of factorization. This solution was automatically generated by our smart calculator: $factor\left (x^2-x-6\right)$. 2. Factor the trinomial $x^2-x-6$ finding two numbers that multiply to form $-6$ and added form $-1$. $\begin {matrix}\left (2\right)\left (-3\right)=-6\\ \left (2\right)+\left ...
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