Pagrowsume 1) \( a^{2}-9 \) 2) \( b^{2}+10 b+25 \) 3) \( 25 x^{2}-16 \) 4) \( 9 x^{2}-12 x y+4 y^{2} \) 5) \( 5 a^{2}-20 a b \) 6) \( 7 x^{3}-14 x^{5} \) 7) \( 3 a-3 b+a x-b x \) 8) \( 17 x^{2}-17 \) 9) \( 8 a^{2} b^{2}-72 a^{2} c^{2} \)

Let's dive into the wondrous world of algebraic expressions! To start, the expression \( a^{2}-9 \) is a classic example of a difference of squares. It factors neatly into \( (a-3)(a+3) \), which is not just a clever trick in algebra, but a useful tool for solving equations and simplifying calculations! Now, take a look at \( 9x^2 - 12xy + 4y^2 \). This expression can be rewritten as \( (3x - 2y)^2 \). Recognizing patterns like these helps us streamline potentially complex problems and is a key skill in both algebra and higher mathematics. So, keep your factoring skills sharp!