Rational Expressions 65 Reduce to lowest terms x 2x2 4 x2

Rational Expressions 65. Reduce to lowest terms x - 2/x^2 - 4 x^2- 25/x^2-10x + 25 2x^2- 2/6x + 6 2x^2 + x -3/2x^2 + 3x Multiply or divide as indicated. 3x -12/2x, 6x^2/x - 4

Solution

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a) x - 2 / (x^2 - 4)

(x-2) / (x-2)(x+ 2)

1 / (x + 2)

b) x^2 - 25 / (x^2 - 10x + 25)

(x-5)(x+5) / (x-5)^2

(x+5) / (x-5)

c) 2x^2 - 2 / 6x + 6

2(x-1)(x+1) / 6(x+1)

(x-1) / 3

d) 2x^2 +x - 3 / 2x^2 + 3x

2x^2 + 3x - 2x - 3 / x (2x + 3)

(x-1)(2x+3) / x(2x+3)

x-1 / x

Solution

 Rational Expressions 65. Reduce to lowest terms x - 2/x^2 - 4 x^2- 25/x^2-10x + 25 2x^2- 2/6x + 6 2x^2 + x -3/2x^2 + 3x Multiply or divide as indicated. 3x -12

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