Answer:
[tex]5x+10y+5z[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{1}{2}(10x+20y+10z)[/tex]
We have to find the equivalent expression by using distributive property.
We know that
Distributive property for three integers a,b and c
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Suppose a=10x and b=20y+10z
Using the formula
[tex]\frac{1}{2}(10x)+\frac{1}{2}(20y+10z)[/tex]
[tex]5x+\frac{1}{2}(20y+10z)[/tex]
Again apply distributive property
[tex]5x+\frac{1}{2}(20y)+\frac{1}{2}(10z)[/tex]
[tex]5x+10y+5z[/tex]
This is required expression.
