Respuesta :
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Either:
4(5+4) Or
2(10+8)
The distributive property is given by:
A*(B + C) = A*B + A*C
Using this, we will find that 4*(5 + 4) = 4*9 is equivalent to 20 + 16
Ok, we start with 20 + 16, and we want to find an equivalent expression to this one.
To do it, we need to find a common factor between 20 and 16.
For example both of these are even numbers, thus we can write:
20 = 2*10
16 = 2*8
Then we can rewrite:
20 + 16 = 2*10 + 2*8
Now we use the distributive property to get:
2*10 + 2*8 = 2*(10 + 8) = 2*18
We can see that 4 is also a common factor, thus we also can write:
20 = 4*5
16 = 4*4
then:
20 + 16 = 4*5 + 4*4 = 4*(5 + 4) = 4*9
So we just found two equivalent expressions.
If you want to learn more, you can read:
https://brainly.com/question/6276874