Factorise the polynomial
(x-5)²- ( 5x-25)- 24
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Here goes the solution!
(x - 5)^2 - 5(x - 5) - 24
Let x - 5 = a
= a2 - 5a - 24
= a2 - 8a + 3a - 24
= a(a - 8) + 3(a - 8)
= (a + 3) (a - 8)
= (x - 5 + 3) (x - 5 -8)
= (x - 2) (x - 13)
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