Question

simplify (pq-qr+pr)(p+r)-(pr+pq)(p+q-r)​

Answer 1

Answer:

$= (pq \: - qr \: + pr)(p + r) - (pr + pq )\:( p + q - r) \\ = p(pq - \: qr \: + pr) + r(pq \: - qr \: + pr) - pr(p + \: q - \: r) + pq(p + q - r) \\ = {p}^{2} q - pqr + {p}^{2} r + pqr - q {r}^{2} + p {r}^{2} - {p}^{2} r + pqr - p {r}^{2} + {p}^{2} q + p {q}^{2} - pqr \\ = p {q}^{2} - q {r}^{2}$

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