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Expand (sqrt(t) + 3t + 1)^3 + (sqrt(t) - 3t + 1)^3.

 Jan 7, 2023
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Alright, this is gonna be a long one.

first expand this whole thing

\(27t^3+36t^2+27t^2\sqrt{t}+19t\sqrt{t}+12t+3\sqrt{t}+1+\left(\sqrt{t}-3t+1\right)^3\)

\(=27t^3+36t^2+27t^2\sqrt{t}+19t\sqrt{t}+12t+3\sqrt{t}+1-27t^3+18t^2+27t^2\sqrt{t}-17t\sqrt{t}-6t+3\sqrt{t}+1\)

\(=27t^3-27t^3+36t^2+18t^2+27t^2\sqrt{t}+27t^2\sqrt{t}+19t\sqrt{t}-17t\sqrt{t}+12t-6t+3\sqrt{t}+3\sqrt{t}+1+1\) grouping like terms

simplify to get: \(54t^2+54t^2\sqrt{t}+2t\sqrt{t}+6t+6\sqrt{t}+2\)

you technically could group them together in parenthesis and stuff but im not doing that

 Jan 7, 2023

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