k_lynn
  • k_lynn
Simplify...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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k_lynn
  • k_lynn
\[(3x ^{2}+2x +7x ^{3})+(10x ^{2}+6x +9)\] This needs simplified and I'm not sure whre to begin.
k_lynn
  • k_lynn
@misty1212
kropot72
  • kropot72
First step is to remove the brackets. Next gather like terms.

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k_lynn
  • k_lynn
What do you mean by remove the brackets? And when I combine the like terms, do I add the add the exponents?
kropot72
  • kropot72
Removing the brackets gives \[\large 3x^{2}+2x+7x^{3}+10x^{2}+6x+9\] The terms in x-squared are like terms. To add the 2 terms in x-squared, just add the coefficients of x-squared (3 + 10 = 13).
k_lynn
  • k_lynn
Oh, ok. So I have \[13x ^{2}+2x +7x ^{3}+6x +9\]
k_lynn
  • k_lynn
can I combine 2x and 6x?
kropot72
  • kropot72
The terms in x are also like terms. To add them just add the coefficients (2 + 6 = 8).
k_lynn
  • k_lynn
Right. SO now: \[13x ^{2}+8x+7x ^{3}+9\] And so is that it?
anonymous
  • anonymous
The next step is to arrange in decreasing order of powers, not really necessary but yeah.. \[7x^3+13x^2+8x+9\] Looks more nice that way
kropot72
  • kropot72
Nearly finished. The last step is to arrange the terms in descending powers of x, starting with x cubed.
k_lynn
  • k_lynn
Ok, thanks so much everyone!
kropot72
  • kropot72
You're welcome :)

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