Question 215206
Perform the operations as described.


subtract the sum of {{{-8n^2-9n-2}}} and {{{-3n^2+n+4}}} from {{{-13n^2-n+9}}}


Step 1.  Perform the sum of {{{-8n^2-9n-2}}} and {{{-3n^2+n+4}}}


{{{-8n^2-9n-2+(-3n^2)+n+4= (-8-3)*n^2+(-9+1)n+((-2)+4)=-11n^2-8n-2}}}


Step 2.  Subtract resulting polynomial in Step 1 from {{{-13n^2-n+9}}}


{{{-13n^2-n+9+(-1)*(-11n^2-8n-2)=(-13+11)n^2-n+8n+(9+2)=-2n^2+7n+11}}}


Step 3.  ANSWER:  {{{-2n^2+7n+11}}}


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J