simplify mn+mp+nq+pq /n+p
m(n+p)+q(n+p) / (n+p)
(m+q)(n+p) / (n+p)
m+q
To simplify the given expression (mn + mp + nq + pq) / (n + p), we can apply the distributive property, which states that for any numbers a, b, and c, a(b + c) equals ab + ac. Let's expand the expression using this property:
mn + mp + nq + pq = n(m + q) + p(m + q)
Now, notice that we have a common factor of (m + q) in both terms. We can factor it out:
n(m + q) + p(m + q) = (m + q)(n + p)
Finally, we can divide both terms by (n + p) to simplify the expression:
(m + q)(n + p) / (n + p) = m + q
Therefore, the simplified expression is m + q.