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  • 24-02-2022
  • Mathematics
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factorise x^2-900 and c^2-64 fully​

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Аноним Аноним
  • 24-02-2022

Answer:

Step-by-step explanation:
Question 1)

Rewrite 900 as 30²:
[tex]x^{2} -30^{2}[/tex]      

Use D.O.T.S (difference of two squares) formula   [tex]x^{2} -y^{2} =(x+y)(x-y)[/tex] :
[tex]x^{2} -30^{2} = (x+30)(x-30)[/tex]

Answer 1) (x+30)(x-30)

Question 2)

Rewrite 64 as 8²:
[tex]c^{2} -8^{2}[/tex]
Use D.O.T.S (difference of two squares) formula [tex]x^{2} -y^{2} =(x+y)(x-y)[/tex] :

[tex]c^{2} -8^{2} = (c+8)(c-8)[/tex]
Answer 2) (c+8)(-8)

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