b. \( w^{8}\left(w^{2}+1\right) \)

Did you know that polynomials like \( w^{8}(w^{2}+1) \) can be simplified by distributing and combining like terms? You can start by distributing \( w^{8} \) across the expression inside the parentheses, resulting in \( w^{10} + w^{8} \). This shows how even higher degree polynomials can be simplified to reveal their inherent structure! If you're solving equations or inequalities involving polynomials, remember to always look for common factors or patterns! A common mistake is neglecting to factor or misapplying the distributive property. Double-check your work by plugging in values or graphing the polynomial to ensure you're on the right track—polynomials can behave quite dramatically depending on their degree and coefficients!