Perform the indicated operations. See Examples 2–6. (x^4-3x^2+2) ...

Question

Perform the indicated operations. See Examples 2–6. (x^4-3x^2+2) - (-2x^4+x^2-3)

Accepted Answer

Hey everyone here we are asked to find the difference of the expression where we have the quantity of three X to the eighth power plus five X cubed plus 12 minus the quantity of negative 11 X to the eighth Power minus 14 X. Cute plus 13. Now all we have to do to find the difference. This expression here is to subtract the like terms so we can start with our first term where we have three X to the eighth power. Well our other term with X to the eighth power is negative X to the eighth power. So we just need to subtract these two terms. So doing this we just have three X to the eighth power minus nega 11 X to the eighth power. And then we just add our next difference of terms here where we will take our next term of five X cubed in our other X cubed term is this negative 14 X cubed. So again subtracting these terms, we have five X cubed minus negative 14 x cubed. And now we just add our last difference of terms here. Where we take the last set of terms where we just have 12 -13. So again writing this in our expression we have 12 - and now we just have to simplify our expression here by actually subtracting the terms. So beginning with our first terms we have three X to the eighth power minus negative 11 X to the eighth power which gives us positive 14 X to the eighth power. And then from our next set of terms here we have five X. Cubed minus negative 14 X cubed which gives us positive 19 Execute. And lastly from our last terms here we have -13 which gives us just -1. And so with this we have found the difference of our expression here, which is which leaves us with answer choice d. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Struggling with College Algebra?

Perform the indicated operations. See Examples 2–6. (x^4-3x^2+2) - (-2x^4+x^2-3)

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