How do you combine like terms in #(6p ^ { 2} + 2p ^ { 4} ) - ( 5p ^ { 2} - 8p - 4p ^ { 4} )#?

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Answer 1 · 2017-07-13T09:33:50

#p(6p^3+p+8)#

rewrite all terms as multiples of #p#:

e.g. #6p^2= 6p*p, 2p^4 = 2p^3*p#

#(6p^2+2p^4) - (5p^2-8p-4p^4)= p((6p+2p^3)-(5p-8-4p^3))#

expand brackets by collecting like terms:

#(6p+2p^3)-(5p-8-4p^3) = 6p+2p^3-5p+8+4p^3#

#=6p^3+p+8#

#p((6p+2p^3)-(5p-8-4p^3)) = p(6p^3+p+8)#