Which expression is equivalent to 56 + 21?
plz need

Option number 4/D. If you distribute:
8 • 7 = 56. And 7 • 3 is 21.
Hope this helps :)

Hello there!

Our question is:
"Which expression is equivalent to 56 + 21?
A.) 7(49 + 14)
B.) 8(7 + 21)
C.) 8(48 + 13)
D.) 7(8 + 3)"

It appears our question wants us to answer our question with two-step expressions by applying the Distributive Property. 
The Distributive Property allows any number/variable outside a parenthesis (with no order of operation symbol between the number/variable and the parenthesis) to multiply by all numbers/variables inside the parenthesis.

For example, this is how to properly apply the Distributive Property;
2(1 + 3)
2(1) + 2(3)
2 + 6

This is NOT how to properly apply the Distributive Property;
2(1 + 3)
2 + 4

Now that we've covered the basics of what we're dealing with, let's try to solve our question using the Distributive Property on our answer choices.

A.) 7(49 + 14);
7(49) + 7(14)
343 + 98.

343 + 98  56 + 21

B.) 8(7 + 21);
8(7) + 8(21)
56 + 126.

56 + 126  56 + 21

C.) 8(48 + 13)
8(48) + 8(13)
384 + 104

384 + 104  56 + 21

Now, all we are left with is D, likely making it our only correct answer, but let's test it out anyways.

D.) 7(8 + 3);
7(8) + 7(3)
56 + 21

56 + 21 = 56 + 21

Your correct answer is D.) 7(8 + 3).

I hope this helps!

If you have any questions or concerns as to how I came to my answer or how to handle this, feel free to send me a message and I will respond asap. :)