Simplify- ( p + q + r ) ( p - q + r ) + ( p + q - r ) ( - p + q + r ) - 4 rp
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Answer:
(pq−qr+pr)(pq+qr)−(pr+pq)(p+q−r)
=[p
2
q
2
+pq
2
r−pq
2
r−q
2
r
2
+p
2
qr+pqr
2
]−[p
2
r+pqr−pr
2
+p
2
q+pq
2
−pqr]
=p
2
q
2
+pq
2
r−pq
2
r−q
2
r
2
+p
2
qr+pqr
2
−p
2
r−pqr+pr
2
−p
2
q−pq
2
+pqr
=p
2
q
2
−q
2
r
2
+p
2
qr+pqr
2
−p
2
r+pr
2
−p
2
q−pq
2
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