wandawhite455 wandawhite455
  • 27-05-2019
  • Mathematics
contestada

(a + b - c )(a + b + c )

Respuesta :

lisana13 lisana13
  • 27-05-2019

If you are looking for the expanded version, this is it. It is also possible to group either an a from (a^2 + 2b) or a b from (2ab + b^2). Hope this helps!

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 27-05-2019

Answer:

[tex](a+b-c)(a+b+c)=a^2+2ab+b^2-c^2[/tex].

Step-by-step explanation:

We want to expand: [tex](a+b-c)(a+b+c)[/tex].

We use the distributive property to obtain:

[tex](a+b-c)(a+b+c)=a(a+b+c)+b(a+b+c)-c(a+b+c)[/tex].

We now expand to get:

[tex](a+b-c)(a+b+c)=a^2+ab+ac+ab+b^2+bc-ac-bc-c^2[/tex].

This finally simplifies to

[tex](a+b-c)(a+b+c)=a^2+2ab+b^2-c^2[/tex].

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