(3а-8в)(3а+8в)

To simplify the expression \((3a - 8b)(3a + 8b)\), you can use the difference of squares formula, which states that:

\[ (x - y)(x + y) = x^2 - y^2 \]

In this case, let \(x = 3a\) and \(y = 8b\). Applying the difference of squares formula gives:

\[ (3a - 8b)(3a + 8b) = (3a)^2 - (8b)^2 \]

Now calculate each square:

\[ (3a)^2 = 9a^2 \] \[ (8b)^2 = 64b^2 \]

Putting it all together, we have:

\[ (3a - 8b)(3a + 8b) = 9a^2 - 64b^2 \]

So the simplified expression is:

\[ 9a^2 - 64b^2 \]