Question

factorise x^2y^2-xy-72

Answer 1

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Answer 2

Answer:

x^2 y^2 - x y - 72  = ( x y + 8) ( x y - 9)

Step-by-step explanation:

x^2 y^2 - x y - 72

Let x y = t

t² - t - 72

Factorize this by splitting middle term,

t² -  9 t + 8 t - 72

t ( t - 9) + 8 ( t - 9)

(t + 8) ( t - 9)  = ( x y + 8) ( x y - 9)