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

Respuesta :

[tex]e)xyac+xydf[/tex]

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

[tex]a(b+c)=ab+ac[/tex]

so

Step 1

[tex](xy)(ac+df)[/tex]

use the distributive property to expand

[tex]\begin{gathered} (xy)(ac+df) \\ (xy)(ac+df)=(xy)(ac)+(xy)(df) \\ (xy)(ac+df)=xyac+xydf \end{gathered}[/tex]

therefore, the answer is

[tex]e)xyac+xydf[/tex]

e. xyac + xydf

I hope this helps you