Question

Apply the distributive property to create an equivalent expression. \dfrac12(10x + 20y +10z) = 2 1 ​ (10x+20y+10z)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals

Answer 1

Answer:

The answer is "$5x+10y+5z$"

Step-by-step explanation:

Given value:

$\to \frac{1}{2}(10x + 20y +10z)$

Using the distributive property.

If there are three integers a,b and c then:

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

$\to \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)$

Again apply the distributive property

 $\to (5x) +(10y+5z)\\\\\to (5x+10y+5z)$

Or

$\to \frac{1}{2}(10x + 20y +10z)$

take common 2 from the equation:

$\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)$

Answer 2

Answer:

5x+10y+5z

Step-by-step explanation: