Задача Задача №2656225
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To expand the expression \((9a + 3)^2\), you can use the formula for the square of a binomial, which is given by:
\[ (x + y)^2 = x^2 + 2xy + y^2 \]
In this case, let \(x = 9a\) and \(y = 3\).
Now, applying the formula:
- \(x^2 = (9a)^2 = 81a^2\)
- \(y^2 = 3^2 = 9\)
- \(2xy = 2 \cdot (9a) \cdot 3 = 54a\)
Now, putting it all together:
\[ (9a + 3)^2 = 81a^2 + 54a + 9 \]
So, the expanded form of \((9a + 3)^2\) is:
\[ 81a^2 + 54a + 9 \]