cadencejeep66 cadencejeep66
  • 20-05-2020
  • Mathematics
contestada

Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)
Show and explain your steps. PLEASE!!!

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mirai123
mirai123 mirai123
  • 20-05-2020

Answer:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Step-by-step explanation:

[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]

First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]

[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]

So, we got

[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]

Adding similar elements, we get:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

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