faithfuller2018
faithfuller2018 faithfuller2018
  • 21-06-2018
  • Mathematics
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Choose the correct simplification of 9x2(4x + 2x2 − 1). 18x4 + 36x3 − 9x2 18x4 − 36x3 + 9x2 36x4 + 18x3 − 9x2 36x4 − 13x3 + 9x2

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kanest
kanest kanest
  • 21-06-2018
Distribute 9x^2 to all terms in parentheses:

[tex]9x^{2} \times 4x = 36x^{3}[/tex]
[tex]9x^{2} \times 2x^{2} = 18x^{4}[/tex]
[tex]9x^{2} \times -1 = -9x^{2} [/tex]

[tex]18x^4 + 36x^3 - 9x^2[/tex]

The answer is 18x^4 + 36x^3 − 9x^2.
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altavistard
altavistard altavistard
  • 21-06-2018
You have 3 terms inside the parentheses.  One by one, you must mult. each of these terms by 9x^2.

9x^2(4x + 2x^2 - 1) = 36x^3 + 18x^4 - 9x^2

Be sure to use " ^ " for exponentiation:  x^2, not x2.


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