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g. \( (p+3)^{2} *(2 p+1) \)

Ask by Valdez Welch. in the United States
Mar 15,2025

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The simplified form is \( 2p^{3}+13p^{2}+24p+9 \).

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Did you know that the expression \((p+3)^{2} *(2p+1)\) can be expanded using the distributive property? First, you'll want to expand \((p+3)^{2}\) to get \(p^{2} + 6p + 9\). Then, simply multiply each term by \((2p+1)\). This results in a fun process where you'll get a polynomial of degree three! As a note for problem solvers, keep an eye out for common mistakes like forgetting to square each term when expanding or misapplying the distributive property. Those pesky little errors can sneak in and derail your calculations, so take a moment to double-check your work!

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