carlilog000 carlilog000
  • 16-12-2019
  • Mathematics
contestada

(ab2 + 4a2 + 6a2b2) − (−ab2 + 2a2b2 + 4a2)

Respuesta :

carlosego
carlosego carlosego
  • 27-12-2019

For this case we have the following expression:

[tex](ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2) - (- ab ^ 2 + 2a ^ 2b ^ 2 + 4a ^ 2) =[/tex]

We must simplify taking into account that:

[tex]- * - = +\\- * + = -[/tex]

So, we have:

[tex]ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2 + ab ^ 2-2a ^ 2b ^ 2-4a ^ 2 =[/tex]

We add similar terms:

[tex]ab ^ 2 + ab ^ 2 + 4a ^ 2-4a ^ 2 + 6a ^ 2b ^ 2-2a ^ 2b ^ 2 =\\2ab ^ 2 + 4a ^ 2b ^ 2[/tex]

Answer:

[tex]2ab ^ 2 + 4a ^ 2b ^ 2[/tex]

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