Question

Are these Equivalent expressions 4(2 + 3) and 4(2) + 4(3)

Answer 1

40

Explanation:

so its simple since the 4(2+3) are in brackets u would put multiply the number in the brakcets for example 2+3 is 5 and that 4 at the side you would multiply it by 4 and you get 20 but then the 4(2) that would just be 4x2 becuase those brackets are singnifieing that its like a multipication problem same with the 4(3) its the same as 4x3 put it all together and you get 40

Answer 2

Yes, they are equivalent.

Explanation:

1. To see if they're equivalent, you have to solve them. Start with the first one. Steps are below.
2. Apply the distributed property: 8 + 12
3. 8 + 12 = 20

For second expression:

1. 4(2) = 4 × 2 = 8
2. 4(3) = 4 × 3 = 12
3. Put them together: 8 + 12
4. 8 + 12 = 20

Making a conclusion:

Because they both have the same answer, they are equivalent expressions.

I hope this helps!