Rewrite each expression using the distributive property and simpl...

Question

Rewrite each expression using the distributive property and simplify, if possible. See Example 7.

5k + 3k

Accepted Answer

Hello, everyone. We are asked to apply the distributive property to rewrite the given expression and simplify if necessary, we are given 25 U plus 19 U. Our answer choices are A U multiplied by the parentheses. 25 plus 19 equals 44. U bu multiplied by the parentheses. 25 plus one equals 26 U cu multiplied by the parentheses. One plus 19 equals 20 U D 25 U multiplied by the parentheses. One plus 19 equals 500 U. So starting off, we have 25 U plus 19 U. So let's think about what our distributive property tells us. It tells us that a multiplied by the parentheses. B plus C would equal A B plus ac. So here we're working with the second half of this equation. We've already multiplied our number into the parentheses. So we want to pull it now out of the parentheses. So we're looking for what is in common between 25 you and 19 U and that is the value you. So you was going to the outside of my parentheses and inside, I'm gonna put the value if I divided you out of it. So 25 U divided by, you would leave us with 25 19, U divided by U would leave us with 19. So the first part of our answer is that we have U multiplied by the parentheses 25 plus 19. Now to simplify this, there are two ways we could go about it. You can go back to our original expression. So 25 U plus 19 U in combiner like terms giving us 44 U or if you go back to U multiplied by the parentheses, 25 plus 19, we can add the values in the parentheses and we'd have U multiplied by 44 which would also bring us to you. So whichever way there made the most sense to you, we will still get 40 for you. And so our answer is answer choice. A U multiplied by the parentheses. 25 plus 19 equals 44. U have a nice day.

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Rewrite each expression using the distributive property and simplify, if possible. See Example 7. 5k + 3k