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Math

Math Snap

PROBLEM

3b4b3 b \cdot 4 b

STEP 1

What is this asking?
We're asked to multiply two terms involving the variable bb.
Watch out!
Don't forget that bb multiplied by bb is bb squared, not 2b2b!

STEP 2

1. Multiply the coefficients.
2. Multiply the variables.
3. Combine the results.

STEP 3

Let's multiply the coefficients of the terms, which are the numbers in front of the variables.
In this case, we have 33 and 44.
So, we calculate 34=123 \cdot 4 = 12.
Remember, coefficients are just numbers multiplying the variables!

STEP 4

Now, let's multiply the variables.
We have bb multiplied by bb.
When we multiply a variable by itself, we get that variable squared.
So, bb=b2b \cdot b = b^2.

STEP 5

Finally, we combine the results from the previous two sub-steps.
We multiplied the coefficients to get 1212 and the variables to get b2b^2.
Putting it all together, we get 12b2=12b212 \cdot b^2 = 12b^2.

SOLUTION

The final answer is 12b212b^2.

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