naanakwarten naanakwarten
  • 19-07-2020
  • Mathematics
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Simplify 2a(b + a) - 2b(b - a)

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TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 19-07-2020

Answer:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Step-by-step explanation:

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

Expand by distributing terms:

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

Remove parentheses:

[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]

Collect like terms:

[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]

Simplify:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

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