Respuesta :

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:

[tex]4\cdot 5+4\cdot 3=2\cdot22-2\cdot6[/tex]

Step-by-step explanation:

We have been given an equation [tex]4(5+3)=2(22-6)[/tex]. 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: [tex]a(b+c)=a\cdot b+a\cdot c[/tex], we can write our given equation as:

[tex]4\cdot 5+4\cdot 3=2\cdot22 -2\cdot6[/tex]

[tex]20+12=44-12[/tex]

[tex]32=32[/tex]