How do you simplify #(4B ^ { 4} - 3B ^ { 3} + 2B ^ { 2} ) + ( B + 2B ^ { 4} + 3B ^ { 3} )#?

1 Answer
Sep 26, 2017

#6B^4 +2B^2+B#

Explanation:

#(4B^4 -3B^3 +2B^2)+(B+2B^4+3B^3)#

The first ones you want to add first are the one that have higher exponents: ( #B^4# in this case)

#( 6B^4 -3B^3 +2B^2)+(B+3B^3)#

Then the #B^3#. Since we have nothing to add more because #B^2# and B are different, here's our final answer:

#6B^4 +2B^2+B#