Simplify (x+y)7+m: Applying the Distributive Property

Question

It is possible to use the distributive property to simplify the expression

(x+y)7+m (x+y)7+m

Video Solution

Step-by-Step Solution

To solve the problem, we first examine whether the distributive property can be applied to the expression (x+y)7+m(x+y)7+m.

  • The expression (x+y)7(x+y)7 involves multiplying the sum of xx and yy by 7.
  • According to the distributive property, we can write this as 7x+7y7x + 7y.
  • Therefore, the expression simplifies to 7x+7y+m7x + 7y + m.
  • Note that the term mm is separate and does not involve multiplication; it remains as an addition to the other terms.

Thus, the correct simplified form is 7x+7y+m7x + 7y + m.

Checking the multiple-choice options, the correct choice is:

No, 7x+7y+m7x + 7y + m

Answer

No, 7x+7y+m 7x+7y+m