Question

Factorize the following expressions :
(i) (x - y) (x - y - 1) - 20​

Answer 1

Answer:

attached image is the answer

Answer 2

After factorizing we get

 ( x - y - 5 ) ( x - y + 4 )

Given,

(x - y) (x - y -1) - 20

⇒ $x^2$ - xy - x - xy + $y^2$ + y - 20

⇒ $x^2$ - 2xy + $y^2$ - x + y - 20

⇒ $(x-y)^2$ - (x - y) - 20

substitute  x-y = t

⇒ $t^2$ - t - 20

⇒ (t - 5) (t + 4)

⇒  ( x - y - 5 ) ( x - y + 4 )

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