# Reduce each rational expression to lowest terms.

Reduce each rational expression to lowest terms. Assume that the variables represent only numbers for which the denominators are nonzero.

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Reduce each rational expression to lowest terms. Assume that the variables represent only numbers for which the denominators are nonzero 6.1 34, 78,88

a^2-b^2

a-b = (a-b)(a+b) / (a-b) = a+b

Reduce to lowest terms

4x^2

2x^9

= 2 x^2 / x^9 = 2/x^7

-2x-8

x^2+2x-8 we will factor both top and bottom and get:

= -2(x+4) / (x+4)(x-2) = -2 / x-2 , after simplifying by x+4.

perform indicted operation 6.2 22,68,74

3 * 2a+2

a^2+a 6

= 3*2(a+1) / a(a+1)*6 = 1/a , after simplifying by 6 and a+1

-2a^2 *20a

3a^2 15a^3

= -40 a^3 / 45 a^5 = -8/9a^2 , after simplifying by 5 and a^3

w^2-1 * w-1

(w-1)^2 w^2+2w+1

= ...

#### Solution Summary

The expert reduces the rational expression to the lowest terms of denominators.