Question

p⁴-16/pq-2q+pr-2r ÷ p²+4/2q+2r ÷ p²-4/p²+4p+4​

Answer 1

Answer:

A4−B4=(A2−B2)(A2+B2)=(A−B)(A+B)(A2+B2)

Substitute A=p+q and B=p−q⟹A+B=2p and A−B=2q

LHS=(p+q)4−(p−q)4=(2q)(2p)((p+q)2+(p−q)2)=4pq(p2+q2+2pq+p2+q2−2pq)

=4pq(2p2+2q2)=8pq(p2+q2)

=RHS

Explanation:

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