ekta12946
ekta12946 ekta12946
  • 21-08-2021
  • Mathematics
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hcf of x^2 - y^2 + 4y - 4​

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Tasyha
Tasyha Tasyha
  • 21-08-2021

Answer:

[tex](x - y + 2) \times (x + y - 2)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]

➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]

➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]

➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]

➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]

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