Respuesta :
Answer:
The equivalent expression after distribution is:
[tex]a-3b+4[/tex]
Step-by-step explanation:
Given expression:
[tex]\frac{1}{2}(2a-6b+8)[/tex]
We need to apply distributive property to create an equivalent expression.
By distributive property of multiplication, the term outside the parenthesis is multiplied by each of the terms inside the parenthesis. It is given as:
[tex]a(b+c)=(a\times b)+(a\times c)=ab+ac[/tex]
We have,
⇒ [tex]\frac{1}{2}(2a-6b+8)[/tex]
Using distribution:
⇒ [tex](\frac{1}{2}.2a)+(\frac{1}{2}.(-6b))+(\frac{1}{2}.8)[/tex]
⇒ [tex](a+(-3b)+4)[/tex]
⇒ [tex]a-3b+4[/tex]
Thus, the equivalent expression after distribution is:
[tex]a-3b+4[/tex]
