Question

Use the distributive property to write the expression without parentheses then simplify the result if possible

Answer 1

The distributive property states:

`a(b+c)=a\cdot b+a\cdot c`

therefore:

`\begin{gathered} (1)/(2)(8x+7)+(1)/(2)=(1)/(2)\cdot8x+(1)/(2)\cdot7+(1)/(2)=4x+(7)/(2)+(1)/(2)=4x+(7+1)/(2)=4x+(8)/(2) \\ so\colon \\ 4x+(8)/(2)=4x+4=4(x+1) \end{gathered}`