The Distributive property is express as : a(b + c ) =ab + ac
In the given expression:
[tex]\frac{1}{2}(4x-8)-\frac{1}{3}(15x-9)[/tex]
Apply distributive property:
[tex]\begin{gathered} \frac{1}{2}(4x-8)-\frac{1}{3}(15x-9) \\ \frac{1}{2}(4x-8)-\frac{1}{3}(15x-9)=\frac{4x}{2}-\frac{8}{2}-\frac{15x}{3}+\frac{9}{3} \\ \frac{1}{2}(4x-8)-\frac{1}{3}(15x-9)=2x-4-5x+3 \\ \frac{1}{2}(4x-8)-\frac{1}{3}(15x-9)=-3x-1 \\ \frac{1}{2}(4x-8)-\frac{1}{3}(15x-9)=-(3x+1) \end{gathered}[/tex]
Answer : -(3x + 1)
