How do you add #4x ( 2x + 1) ^ { 3} + 5( 2x + 1) ^ { 4}#?

1 Answer
salamat
Sep 8, 2017

#(14 x +5)(2 x + 1)^3#

Explanation:

#4 x(2 x + 1)^3 + 5(2 x + 1)^4#

reduce #(2 x + 1)^4 to (2 x + 1)^3#
#4 x(2 x + 1)^3 + 5(2 x + 1)(2 x + 1)^3#
#4 x(2 x + 1)^3 + (10 x +5)(2 x + 1)^3#

factorize,
#(4 x + (10 x +5))(2 x + 1)^3 #
#(14 x +5)(2 x + 1)^3#

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