( 6t^2 + 2t + 1 ) 3t
A) 9t^2 + 5T + 3
B) 18T^2 + 6T + 3
C) 9T^3 + 6T^3 + 3T
D) 18t+6T^+3T
Either the question was posted with a typo, or one or more of the answers.
To ensure you get the correct answer, I suggest you check carefully the mathematical expressions.
IS THE ANSWER 12T^3 + 6T^2 + 3T
Not according to your question.
Did you check for typos as I suggested?
To find the product of two expressions, you multiply each term in the first expression by each term in the second expression. In this case, you are multiplying the expression (6t^2 + 2t + 1) by 3t.
So, let's do the multiplication step by step:
Step 1: Multiply the first term of the first expression, which is 6t^2, by the second expression, 3t.
6t^2 * 3t = 18t^3
Step 2: Multiply the second term of the first expression, which is 2t, by the second expression, 3t.
2t * 3t = 6t^2
Step 3: Multiply the third term of the first expression, which is 1, by the second expression, 3t.
1 * 3t = 3t
Now, combining all the results, we get:
18t^3 + 6t^2 + 3t
Therefore, the correct answer is option C) 9T^3 + 6T^2 + 3T.