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

5x+10y+5z

Explanation:

Answer 2

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

Explanation:

Given value:

`\to (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 (1)/(2)(10x) +(1)/(2)(20y+10z)\\\\\to (5x) +(1)/(2)(20y+10z)`

Again apply the distributive property

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

Or

`\to (1)/(2)(10x + 20y +10z)`

take common 2 from the equation:

`\to (1)/(2)* 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\`