Factorise the following: x 2 y 2 - xy - 72

x 2 y 2 - xy - 72 = x 2 y 2 - 9xy + 8xy - 72 = xy(xy - 9) + 8(xy - 9) = (xy - 9)(xy + 8). Hence, x 2 y 2 - xy - 72 = (xy - 9)(xy + 8).

Mathematics

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x²y² - xy - 72 = x²y² - 9xy + 8xy - 72

= xy(xy - 9) + 8(xy - 9)

= (xy - 9)(xy + 8).

Hence, x²y² - xy - 72 = (xy - 9)(xy + 8).

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