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Factorise :\((x^2 - 5x)(x^2 - 5x - 20) + 84\)

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\((x^2 - 5x)(x^2 - 5x - 20) + 84\) = (x2 - 5x)(x2 - 5x) - 20(x2 - 5x) + 84

= (x2 - 5x)2 - 20(x2 - 5x) + 84

Let x2 - 5x = a. Then, the given expression

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