Задача Задача №2666453
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To expand the expression \((a + 7)^2\), you use the formula for the square of a binomial:
\[ (a + b)^2 = a^2 + 2ab + b^2 \]
In this case, \(a\) is \(a\) and \(b\) is \(7\).
Applying the formula, we get:
\[ (a + 7)^2 = a^2 + 2 \cdot a \cdot 7 + 7^2 \] \[ = a^2 + 14a + 49 \]
So, \((a + 7)^2 = a^2 + 14a + 49\).