(7+2м)2

To simplify the expression \((7 + 2m)^2\), you can use the formula for the square of a binomial, which is \((a + b)^2 = a^2 + 2ab + b^2\).

Here, \(a = 7\) and \(b = 2m\). Applying the formula:

\[ (7 + 2m)^2 = 7^2 + 2(7)(2m) + (2m)^2 \]

Now calculate each term:

1. \(7^2 = 49\)
2. \(2(7)(2m) = 28m\)
3. \((2m)^2 = 4m^2\)

Putting it all together:

\[ (7 + 2m)^2 = 49 + 28m + 4m^2 \]

Thus, the simplified expression is:

\[ 4m^2 + 28m + 49 \]