Задача Задача №2641170
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To expand the expression \((7 - a)^2\), you can use the formula for the square of a binomial, which is \((x - y)^2 = x^2 - 2xy + y^2\).
Here, \(x = 7\) and \(y = a\).
Applying the formula:
\[ (7 - a)^2 = 7^2 - 2 \cdot 7 \cdot a + a^2 \]
Calculate each term:
- \(7^2 = 49\)
- \(-2 \cdot 7 \cdot a = -14a\)
- \(a^2 = a^2\)
Putting it all together:
\[ (7 - a)^2 = 49 - 14a + a^2 \]
So, the expanded form of \((7 - a)^2\) is:
\[ a^2 - 14a + 49 \]