tr91stu tr91stu
  • 15-05-2019
  • Mathematics
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Simplify the difference. (–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x)

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luisejr77
luisejr77 luisejr77
  • 15-05-2019

Answer: [tex]2x^4+2x+10[/tex]

Step-by-step explanation:

You need to remember the mulplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Knowing this, you can distributive the negative sign. Then you get:

[tex](-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x[/tex]

Now you need to add the like terms. Then:

[tex]=2x+2x^4+10[/tex]

Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:

[tex]=2x^4+2x+10[/tex]

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