Question

Which of the following illustratesthe distributive property?(xy) (ac + df) =a. (xy)(acdf) b. (xy) + (ac) + (df)C. X[y(ac + df)] d. (ac + df)(xy)e. xyac + xydf

Answer 1

`e)xyac+xydf`

Step-by-step explanation

Step 1

the distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together

`a(b+c)=ab+ac`

so

Step 1

`(xy)(ac+df)`

use the distributive property to expand

`\begin{gathered} (xy)(ac+df) \\ (xy)(ac+df)=(xy)(ac)+(xy)(df) \\ (xy)(ac+df)=xyac+xydf \end{gathered}`

therefore, the answer is

`e)xyac+xydf`

e. xyac + xydf

I hope this helps you