how do i use the distributive property to rewrite the expression 3(26)

Question

need help rewriting it

Answer 1

distributive property of multiplication states:   a(b+c) is equal to (ab + ac).

 

So in your case we need two numbers inside the parentheses that add up to 26. Pick any combination.

 

let's try 14 and 12.

 

so we have:

 

3(26) = 3(14 + 12) = (3* 14 + 3 * 12)

 

3(26) = 78

 

(3* 14 + 3 * 12) = (42 + 36) = 78

 

therefore, a(b + c) = (ab + ac)