3(2x-1)^2(2)(x+3)^(1/2)+(2x-1)^3(1/2)(x+3)^(-1/2) the answer to this problem has to be in factor form to makeeasier I allowed a=2x-1 and b=x+3 my answer is(2x-1)2(x+3)1/2 ((14x+35)/(2x-6)) the thing is I am not sure if thisis right

Kade Reese

Kade Reese

Answered question

2022-07-26

3 ( 2 x 1 ) 2 ( 2 ) ( x + 3 ) 1 / 2 + ( 2 x 1 ) 3 ( 1 2 ) ( x + 3 ) 1 / 2
the answer to this problem has to be in factor form to makeeasier I allowed a=2x-1 and b=x+3 my answer is ( 2 x 1 ) 2 ( x + 3 ) 1 / 2
( 14 x + 35 2 x 6 ) the thing is I am not sure if thisis right

Answer & Explanation

le1kabp

le1kabp

Beginner2022-07-27Added 11 answers

Factoring 3 ( 2 x 1 ) 2 ( 2 ) ( x + 3 ) 1 / 2 + ( 2 x 1 ) 3 ( 1 2 ) ( x + 3 ) 1 / 2 gives us:
3 ( 2 x 1 ) 2 ( 2 ) ( x + 3 ) 1 / 2 + ( 2 x 1 ) 3 ( 1 2 ) ( x + 3 ) 1 / 2
= 6 ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 + 1 2 ( 2 x 1 ) 3 ( x + 3 ) 1 / 2
= ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 [ 6 ( x + 3 ) + 1 2 ( 2 x 1 ) ]
= ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 [ 6 x + 18 + x 1 2 ]
= ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 [ 7 x + 35 2 ]
= ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 [ 2 2 7 x 1 + 35 2 ]
= ( 2 x 1 ) 2 ( x + 3 ) 1 / 2 [ 14 x + 35 2 ] = ( 14 x + 35 ) ( 2 x 1 ) 2 2 ( x + 3 ) 1 / 2 = 7 ( 2 x + 5 ) ( 2 x 1 ) 2 2 x + 3
Javion Henry

Javion Henry

Beginner2022-07-28Added 4 answers

3 ( 2 x 1 ) 2 ( 2 ) ( x + 3 ) 1 / 2 + ( 2 x 1 ) 3 ( x + 3 ) 1 / 2
= 12 ( 2 x 1 ) 2 x + 3 x + 3 + ( 2 x 1 ) 3 2 x + 3
= 12 ( 2 x 1 ) 2 ( x + 3 + 2 x 1 ) 2 x + 3
= 12 ( 2 x 1 ) 2 ( 3 x + 3 ) 2 x + 3

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