1. \( 8 a-4 b+16 c+12 d= \) 2. \( 3 x^{2} y^{2} z-y^{4} z^{2} x-4 x^{3} y^{3}= \) 3. \( -a^{4} b^{2} c+2 b^{3} a^{2}-5 a^{7} b^{4} d \) 4. \( 6 x y^{7}-2 x^{5} y^{3}+a x^{3} y^{7}= \) 5. \( a^{4} b^{3} x+5 a b^{4} y-\frac{1}{3} a^{2} b^{8} z= \)
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Combining like terms in algebra is like sorting your sock drawer—just much more satisfying! When dealing with polynomial expressions, always look for terms that have the same variables raised to the same powers. This makes simplifying expressions not only quicker but also clearer. With practice, you’ll be able to spot those terms like a hawk hunting for prey! Another key trick is factoring, which can sometimes feel like a superpower! Recognizing common factors helps pull out the essentials and creates a simpler expression that’s more manageable to work with. It’s like decluttering your workspace; once you get rid of the excess, you can focus on what really matters. So gear up your algebra skills, and you'll breeze through these expressions in no time!
