jdthomas222 jdthomas222
  • 10-12-2019
  • Mathematics
contestada

(a + b)(a 2 - ab + b 2)

Respuesta :

carlosego
carlosego carlosego
  • 18-12-2019

For this case we must simplify the following expression:

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

We apply distributive property:

[tex]a * a ^ 2-a * ab + a * b ^ 2 + b * a ^ 2-b * ab + b * b ^ 2 =[/tex]

To multiply powers of the same base, the same base is placed and the exponents are added.

[tex]a ^ 3-a ^ 2b + ab ^ 2 + a ^ 2b-ab ^ 2 + b ^ 3 =[/tex]

We simplify similar terms:

[tex]a ^ 3 + b ^ 3[/tex]

Finally we have:

[tex]a ^ 3 + b ^ 3[/tex]

Answer:

[tex]a ^ 3 + b ^ 3[/tex]

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