How do you simplify #(n ^ { 2} - 7n ^ { 4} ) + ( 4n ^ { 3} + 4n ^ { 4} - 7n ^ { 2} )#?

1 Answer
Sep 20, 2017

#(n^2-7n^4)+(4n^3+4n^4-7n^2)=color(blue)(n^2(-3n^2+4n-6)#

Explanation:

Simplify:

#(n^2-7n^4)+(4n^3+4n^4-7n^2)#

Remove the parentheses.

#n^2-7n^4+4n^3+4n^4-7n^2#

Gather like terms.

#(-7n^4+4n^4)+(4n^3)+(n^2-7n^2)#

Combine like terms.

#-3n^4+4n^3-6n^2#

Factor out the common #n^2#.

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