Question
multiply \left(v+5\right)\left(6v^{2}+2v-7\right) then simplify
Answers
GPT 3.5
To multiply \((v+5)(6v^2 + 2v - 7)\), we distribute each term in the first expression across the terms in the second expression:
\((v+5)(6v^2 + 2v - 7) = 6v^2(v) + 2v(v) - 7(v) + 6v^2(5) + 2v(5) - 7(5)\)
\(= 6v^3 + 2v^2 - 7v + 30v + 10 - 35\)
\(= 6v^3 + 2v^2 + 23v - 25\)
Therefore, \((v+5)(6v^2 + 2v - 7)\) simplifies to \(\boxed{6v^3 + 2v^2 + 23v - 25}\).
\((v+5)(6v^2 + 2v - 7) = 6v^2(v) + 2v(v) - 7(v) + 6v^2(5) + 2v(5) - 7(5)\)
\(= 6v^3 + 2v^2 - 7v + 30v + 10 - 35\)
\(= 6v^3 + 2v^2 + 23v - 25\)
Therefore, \((v+5)(6v^2 + 2v - 7)\) simplifies to \(\boxed{6v^3 + 2v^2 + 23v - 25}\).