# How do you use the distributive property to multiply 6(3r+4s)?

Nov 17, 2014

$18 r + 24 s$ would be your final answer.

I did this by first multiplying $6 \cdot 3$, as 3 was the first number within the bracket. Next I just added the "r" to the end of the answer.

After that, I multiplied $6 \cdot 4$ in the same way, because 4 is the second number within the parentheses.

Finally add the "s" to the end of the product. And voila, you have the simplified version of $6 \left(3 r + 4 s\right)$.

Remember that the distributive property means that you are distributing the 6 outside of the parentheses to everything within it, hence the name of the property.

For another example, $3 \left(4 y + 5 x\right)$. The 3 is being distributed to the 4y and the 5x. This being said, the answer would be $12 y + 15 x$.

I hope this helps, and good luck!