How do you evaluate 2x52x+1?

2 Answers
Jan 23, 2018

2x2x2+x

Explanation:

2x52x+1

x and 2x+1 have no common factors.

to find a common denominator, both denominators must be multiplied together.

this gives:

2(2x+1)x(2x+1)5x(2x+1)x

after expanding brackets:

4x+22x2+x5x2x2+x

4x+25x=x+2, or 2x

so the final fraction is:

2x2x2+x

2x52x+1
= 4x+22x2+x5x2x2+x
= 4x+25x2x2+x
= 2x2x2+x
= x2x(2x+1)

Explanation:

  1. Multiply the numerator and the denominator of 2x by 2x+1 and 52x+1 by x
  2. Subtract the numerators of each fraction but keep the denominator 2x2+x