Question

Factorize ( x2 - 4x ) ( x2 - 4x - 1 ) - 20

Answer 1

(x2– 4x) (x2– 4x– 1) –20 Putx2– 4x=t ⇒ (x2– 4x) (x2– 4x– 1) –20 =t(t– 1) – 20 =t2–t– 20 =t2– 5t+ 4t– 20 =t(t– 5) + 4 (t– 5) = (t+ 4) (t– 5) = (x2– 4x+ 4) (x2– 4x– 5) = (x2– 2x– 2x+ 4) (x2– 5x+x– 5) = [x(x– 2) – 2 (x– 2)] [x(x– 5) + 1 (x– 5)] = (x– 2) (x– 2) (x+ 1) (x– 5)

Answer 2

Step-by-step explanation:

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