x/2+ x^2/3 - x/5 - x^2/4

Question

Please show work while solving this.

Answer 1

Solution:

x/2 + x²/3 - x/5 -x²/ 4 First arrange like terms in order

x/2 - x/5 + x²/3 - x²/4 add or subtract like terms

( x/2 -x/5) + ( x²/3 - x²/4) take common denominators of 5(2) = 10, and 3(4) = 12

for the first term ( x/2 - x/5) divide 10 by the first denominator 2 = 5 and multiply by the numerator x

divide 10 by the 2nd denominator 5 = 2 and multiply by the numerator x

you get ( 5x - 2x / 10) = 3x/10

for the 2nd term ( x²/3 - x²/4) divide 12 by the first denominator 3 = 4 and multiply by the numerator x²

divide 12 by the 2nd denominator 4 = 3 and multiply by the numerator x²

you get ( 4x² - 3x² / 12) = x²/12

the final answer is 3x/10 + x²/12