rickyop6502 rickyop6502
  • 21-10-2019
  • Mathematics
contestada

Explain the relationship between the polynomial identities: x^2 − 1 = (x +1)(x − 1) and x^2 − a^2 =(x − a)(x +a).

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aristeus aristeus
  • 24-10-2019

Answer:

So these two equation can be related by identity [tex]x^2-a^2=(x+a)(x-a)[/tex]

Step-by-step explanation:

We have given equation [tex]x^2-1=(x+1)(x-1)[/tex]

And [tex]x^2-a^2=(x+a)(x-a)[/tex]

We know the algebraic identity [tex]a^2-b^2=(a+b)(a-b)[/tex]

From this identity

[tex]x^2-1[/tex] can be written as (x+1) (x-1)

And using same identity [tex]x^2-a^2[/tex] can be written as [tex](x-a)(x-b)[/tex]

So these two equation can be related by identity [tex]x^2-a^2=(x+a)(x-a)[/tex]

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