Question

Simplify the following ( p + q ) (p square - q square ) + ( p - q ) ( p square + q square )​

Answer 1

Answer:

$(p + q)(p {}^{2} - q {}^{2}) + (p - q )( {p}^{2} + {q}^{2} ) \\ = {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} + {p}^{3} + p {q}^{2} - {p}^{2} q - {q}^{3} \\ = 2 {p}^{3} - 2 {q}^{3}$

Answer: 2p^3-2q^3

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