Adding and Subtracting Rational Expressions

1) 5x-2/4x - x-2/4x

2) what is the sum of 1/2b+b/2

1 answer

1) To add the rational expressions, we need to get a common denominator of 4x.

(5x-2/4x) + (x-2/4x)
= (5x-2 + x-2) / 4x
= (6x-4) / 4x
= 2(3x-2) / 4x
= (3x-2) / 2x

So, the sum of the rational expressions is (3x-2) / 2x.

2) To add 1/2b and b/2, we need a common denominator of 2.

1/2b + b/2
= (1/2b) + (b/2)
= (1/2b) + (b^2/2b)
= (1+b^2) / 2b

Therefore, the sum of 1/2b and b/2 is (1+b^2) / 2b.