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How do you factor #3(2x-1)^2 (2) (x+3)^(1/2) + (2x-1)^3 (1/2) (x+3)^(-1/2)#?

1 Answer

Oct 9, 2015

#(7(2x-1)^2 (2x+5))/(2(x+3)^(1/2))#

Explanation:

Take out common factor #(2x-1)^2# and simplify,

#(2x-1)^2 {6(x+3)^(1/2) + (2x-1)/(2(x+3)^(1/2)}}#

#(2x-1)^2{(12x+36 +2x-1)/(2(x+3)^(1/2)}}#

#((2x-1)^2 (14x+35))/(2(x+3)^(1/2))#

#(7(2x-1)^2 (2x+5))/(2(x+3)^(1/2))#

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