Simplify and express (2x)/(2x-3)+5/(x+3)+3/(3-2x) as a single reduced fraction (N(x))/(D(x))

tamola7f 2022-09-13 Answered
Simplify and express
2 x 2 x 3 + 5 x + 3 + 3 3 2 x
as a single reduced fraction (N(x))/(D(x))
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Answers (1)

illpnthr21vw
Answered 2022-09-14 Author has 17 answers
2 x 2 x 3 + 5 x + 3 + 3 3 2 x
Making denomiantor same
2 x ( x + 3 ) ( 3 2 x ) ( 2 x 3 ) ( x + 3 ) ( 3 2 x ) + 5 ( 2 x 3 ) ( 3 2 x ) ( x + 3 ) ( 2 x 3 ) ( 3 2 x ) + 3 ( 2 x 3 ) ( x + 3 ) ( 3 2 x ) ( 2 x 3 ) ( x + 3 ) = ( 2 x 2 + 6 x ) ( 3 2 x ) + ( 10 x 15 ) ( 3 2 x ) + ( 6 x 9 ) ( x + 3 ) ( 4 x 2 + 12 x 9 ) ( x + 3 ) = 6 x 2 4 x 3 + 18 x 12 x 2 + 30 x 20 x 2 45 + 30 x + 6 x 2 + 18 x 9 x 27 4 x 3 12 x 2 + 12 x 2 + 36 x 9 x 27 = 4 x 3 20 x 2 67 x 72 4 x 3 + 27 x 27 So,  N ( x ) D ( x ) = 4 x 3 20 x 2 + 87 x 72 4 x 3 + 27 x 27

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