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

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

$(x+y)7+m$

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

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

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

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

No, $7x + 7y + m$