Factorise:
x2y2 - 12xy - 45
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Given,
⇒ x2y2 - 12xy - 45
⇒ (xy)2 - 12xy - 45
⇒ (xy)2 - 15xy + 3xy - 45
⇒ xy(xy - 15) + 3(xy - 15)
⇒ (xy + 3)(xy - 15).
Hence, x2y2 - 12xy - 45 = (xy + 3)(xy - 15).
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