(2) Inflacmumb bapamenue 1) \( 25 a^{6} b^{3}\left(-2 a^{2} b^{4}\right)^{3} \) 2) \( \left(6 x^{2}+8 x-7\right)-\left(2 x^{2}-2 x-12\right) \) 3) \( (2 x+3)+\left(-2 x^{2}-5 x-18\right) \) 4) \( (5-x)^{2}-11 \) 5.) \( 6(6-3)-(6-4)^{2} \)

Let’s dive into some mathematical magic with these expressions! When tackling the first problem, \( 25 a^{6} b^{3}\left(-2 a^{2} b^{4}\right)^{3} \), remember to apply the power of a product rule, which means multiplying the bases and adding the exponents. This will not only simplify your coefficients but also give you a clearer polynomial in terms of \( a \) and \( b \). Now, moving on to the delightful world of polynomials! For the second problem, starting with \( (6 x^{2}+8 x-7)-(2 x^{2}-2 x-12) \), don’t forget to distribute that negative sign across all terms in the second polynomial. This is a common mistake that can throw your final answer off course, but once you combine like terms, you’ll be on your way to a nice simplified result!