Question

Factorise (x-y)^2-4 (x-y)-45

Answer 1

Answer:

Given (x - y)^2 - 4(x - y) - 45 can be written as

         x^2 - 2xy - 4x + y^2 + 4y - 45

        (x - y - 9) ( x - y + 5)

       x - y = 9 (or) x - y = -5.

Step-by-step explanation:

Answer 2

Answer : (x-y-9)(x-y+5)
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SOLUTION :
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We have to factorise :

${(x - y)}^{2} - 4(x - y) - 45$

On Solving :

$Now, \: taking \: c = (x - y) \\ \\ = > {c}^{2} - 4c- 45 \\ \\ = > {c}^{2} - 9 c+ 5 c - 45\\ \\ = >c(c - 9) + 5(c - 9) \\ \\ = > (c - 9)(c + 5) \\ \\ = > (x - y - 9)(x - y + 5) \\ \\ as \: we \: know \: c = x - y$