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QUESTION IMAGE

1) \\((p^4 + 4)(2p^2 + 3)\\)

Question

  1. \\((p^4 + 4)(2p^2 + 3)\\)

Explanation:

Apply the distributive property (FOIL method)

$$ (p^4 + 4)(2p^2 + 3) = p^4(2p^2) + p^4(3) + 4(2p^2) + 4(3) $$

Multiply individual terms

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Combine terms into standard form

$$ 2p^6 + 3p^4 + 8p^2 + 12 $$

Answer:

\(2p^6 + 3p^4 + 8p^2 + 12\)