Question

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Example 11. Factorize the following:
(i) x²-4=x²-2²

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Answer 1

Answer:

(x2−4x)(x2−4x−1)−20

let (x²−4x)=P

P(P−1)−20

P²−P−20

P²−5P+4P−20

P(P−5)+4(P−5)

(P+4)(P−5)

put P=x2−4x

(x²−4x+4)(x²−4x−5)

(x−2)2(x+1)(x−5)