Mathematics
Factorisation of 49p3q - 36pq is
p(7p + 6q)(7p - 6q)
q(7p - 6)(7p + 6)
pq(7p + 6)(7p - 6)
none of these
Factorisation
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Answer
49p3q - 36pq = pq(49p2 - 36) = pq[(7p)2 - (6)2]
We know that,
a2 - b2 = (a + b)(a - b).
∴ pq[(7p)2 - (6)2] = pq[(7p + 6)(7p - 6)].
Hence, Option 3 is the correct option.
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