Mathematics
Multiply :
5p2 + 25pq + 4q2 by 2p2 - 2pq + 3q2
Algebraic Expressions
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Answer
(5p2 + 25pq + 4q2) x (2p2 - 2pq + 3q2)
= 5p2 x (2p2 - 2pq + 3q2) + 25pq x (2p2 - 2pq + 3q2) + 4q2 x (2p2 - 2pq + 3q2)
= 10p(2+2) - 10p(2+1)q + 15p2q2 + 50p(1+2)q - 50p(1+1)q(1+1) + 75pq(1+2) + 8p2q2 - 8pq(2+1) + 12q(2+2)
= 10p4 - 10p3q + 15p2q2 + 50p3q - 50p2q2 + 75pq3 + 8p2q2 - 8pq3 + 12q4
= 10p4 - 10p3q + 50p3q + 15p2q2 - 50p2q2 + 8p2q2 + 75pq3 - 8pq3 + 12q4
= 10p4 + 40p3q - 27p2q2 + 67pq3 + 12q4
Hence, (5p2 + 25pq + 4q2) x (2p2 - 2pq + 3q2) = 10p4 + 40p3q - 27p2q2 + 67pq3 + 12q4
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