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

1 Answer
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