Step-by-step explanation:
Here we have to Explain how you could use the greatest common factor of 8 and 20 and the distributive property to write 8 + 20 as a product. Let's first find GCF of 8 and 20:
Factors of 8:
⇒ [tex]2(2)2 = 2^3[/tex]
Factors 20:
⇒ [tex]2(2)5 = 2^2(5)[/tex]
Therefore GCF of 8 and 20 is [tex]2^2 = 4[/tex] , Now let's calculate 8+20 as a product using GCF:
⇒ [tex]8+20[/tex]
⇒ [tex]2^2(2)+2^2(5)[/tex]
⇒ [tex]2^2(2+5)[/tex]
⇒ [tex]2^2(7)[/tex]
⇒ [tex]28[/tex]