Question

simplify the answer ​

Answer 1

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Answer 2

Answer:

$(p + q)(2p + q) + (p + 2q)(p - q) \\ = (2 {p}^{2} + pq + 2pq + {q}^{2}) + ( {p}^{2} - pq + 2pq - 2 {q}^{2} ) \\ = 2 {p}^{2} \cancel{+ pq} + 2pq + {q}^{2} + {p}^{2} \cancel{ - pq} + 2pq - 2 {q}^{2} \\ = \underline{ \underline{3 {p}^{2} + 4pq - {q}^{2} }}$