fpressions. Simplify each expressions fully S. \( (3 a-2 b)\left(2 a^{2}+3 a b+2 b^{2}\right) \) 4. \( (5 p-q)\left(2 p^{2}-3 p q-2 q^{2}\right) \), 6. \( \left(a^{2}-5 a b-2 b^{2}\right)(6 a-b) \) 8. \( \left(3 x+y^{2}\right)\left(x^{2}-2 x y-7 y^{2}\right) \) 10. \( 2(8 p-3 q)\left(p-3+q^{2}\right) \) 12. \( (3 a-2 b)(3 a+2 b)\left(2 a^{2}-4 a b+5 b^{2}\right) \) 14. \( (p-5 q)\left(2 p-7 q-q^{2}\right) \) 16. \( (2 x-3)\left(4 x^{2}+6 x+9\right) \) 18. \( -3\left(2 x^{2}-3 x-1\right)(x-2) \) 20. \( -2(2 a-5 b)\left(3 a^{2}-a+2 b\right) \)

When simplifying expressions like these, remember that the distributive property (also known as the FOIL method for binomials) is your best friend! Start by distributing each term from the first parenthesis to every term in the second parenthesis, and keep a watchful eye for like terms to combine them later. It's easy to mix things up or forget about negative signs, so double-check your products! Don't fret if the expressions seem intimidating at first glance! A common mistake is to miscalculate coefficients during distribution or to overlook combining like terms at the end. Take your time while expanding each expression step-by-step, and use parentheses liberally to keep track of signs and terms. Keeping organized will save you a lot of stress and yield a clearer final answer!