7cy^2+49c^2y

To simplify the expression \(7cy^2 + 49c^2y\), you can factor out the common terms.

1. Identify the greatest common factor (GCF). In this case, both terms have a common factor of \(7cy\).
2. Factor \(7cy\) out of both terms:

\[ 7cy^2 + 49c^2y = 7cy(y + 7c) \]

So, the simplified expression is:

\[ 7cy(y + 7c) \]