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(2) \( a^{2}+a^{3}= \)

Ask by Gross Best. in South Africa
Feb 04,2025

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Tutor-Verified Answer

Answer

\( a^{2} + a^{3} = a^{2}(a + 1) \)

Solution

To simplify the expression \( a^{2} + a^{3} \), you can factor out the common term \( a^{2} \): \[ a^{2} + a^{3} = a^{2}(1 + a) = a^{2}(a + 1) \] **Final Answer:** \[ a^{2} + a^{3} = a^{2}(a + 1) \]

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Bonus Knowledge

To simplify \( a^{2}+a^{3} \), you can factor out the common term \( a^{2} \). This gives you \( a^{2}(1 + a) \). Voila! You've turned what was a simple expression into something a bit more manageable. Now, if you're ever stuck with algebra, remember that factoring is often your friend! It helps you see the structure of the expression, making it easier to handle in equations or further calculations. Plus, it can make your life a whole lot easier when you're solving more complex problems down the line!

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