Question

(p + q) square - (p - q) square ​

Answer 1

Answer:

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Answer 2

Answer:

$(p + q) ^{2} -( p - q) ^{2} \\ \\ = identity \: used = (a + b) ^{2} = {a}^{2} + {b}^{2} + 2ab \: \: \\ and \\ (a - b) ^{2} = {a}^{2} - { b}^{2} + 2ab \\ \\ ( {p}^{2} + {q}^{2} + 2pq) - ( {p}^{2} + {q}^{2} - 2pq) \\ \\ = {p}^{2} + {q}^{2} + 2pq - {p}^{2} - {q}^{2} + 2pq \\ \\ = 2pq + 2pq \\ \\ = 4pq$