Question

Apply the distributive property to create an equivalent expression. 12(10x+20y+10z)=\dfrac12(10x + 20y +10z) =21​(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

5r+10y+5z

Explanation:

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Answer 2

`5x+10y+5z`

Explanation:

We are given that an expression

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

We have to find the equivalent expression by using distributive property.

We know that

Distributive property for three integers a,b and c

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

Suppose a=10x and b=20y+10z

Using the formula

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

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

Again apply distributive property

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

`5x+10y+5z`

This is required expression.