Question
multiply \left(v+5\right)\left(6v^{2}+2v-7\right)
Answers
GPT 3.5
To multiply \(\left(v+5\right)\left(6v^{2}+2v-7\right)\), we can use the distributive property.
\(\left(v+5\right)\left(6v^{2}+2v-7\right) = v \cdot 6v^{2} + v \cdot 2v - v \cdot 7 + 5 \cdot 6v^{2} + 5 \cdot 2v - 5 \cdot 7\)
Now, simplify each term:
\(6v^{3} + 2v^{2} - 7v + 30v^{2} + 10v - 35\)
Combine like terms:
\(6v^{3} + 32v^{2} + 3v - 35\)
Thus, \(\left(v+5\right)\left(6v^{2}+2v-7\right) = 6v^{3} + 32v^{2} + 3v - 35\)
\(\left(v+5\right)\left(6v^{2}+2v-7\right) = v \cdot 6v^{2} + v \cdot 2v - v \cdot 7 + 5 \cdot 6v^{2} + 5 \cdot 2v - 5 \cdot 7\)
Now, simplify each term:
\(6v^{3} + 2v^{2} - 7v + 30v^{2} + 10v - 35\)
Combine like terms:
\(6v^{3} + 32v^{2} + 3v - 35\)
Thus, \(\left(v+5\right)\left(6v^{2}+2v-7\right) = 6v^{3} + 32v^{2} + 3v - 35\)