Question

How could you correctly rewrite the equation 4(5+3)=2 (22-6) using the distributive property?

Answer 1

Distributive property is taking the number in front of the parentheses and multiplying every term in the parentheses by the number.
So in 4(5 +3),
Multiply 5 and +3 by 4.
4 * 5
20
4 * 3
12
20+12
32
For the second equation do the same thing. Multiply 22 and -6 by 2.
22 * 2
44
-6 * 2
-12
44 + -12
32
32 = 32

Answer 2

Answer:

$4\cdot 5+4\cdot 3=2\cdot22-2\cdot6$

Step-by-step explanation:

We have been given an equation $4(5+3)=2(22-6)$. We are asked to rewrite our given equation using distributive property.

We know that distributive property allows us to multiply a sum by multiplying each addend separately and then add the products.

Using distributive property: $a(b+c)=a\cdot b+a\cdot c$, we can write our given equation as:

$4\cdot 5+4\cdot 3=2\cdot22 -2\cdot6$

$20+12=44-12$

$32=32$