Question

(x)/(2) + ( x²)/(3) -( x)/(5) -( x²)/(4) simplify by combining like terms

Answer 1

Combine like terms by finding the common denominator, resulting in (3/10)x + (1/12)x² as the simplified expression.

Step-by-step explanation:

To simplify the expression (x/2) + (x²/3) - (x/5) - (x²/4), we can combine like terms by finding a common denominator for each term involving x and x².

Step-by-Step Simplification:

1. Combine the x terms: (x/2) - (x/5) = (5x/10) - (2x/10) = (3x/10) or (3/10)x.
2. Combine the x² terms: (x²/3) - (x²/4) = (4x²/12) - (3x²/12) = (1x²/12) or (1/12)x².
3. Combine both results: (3/10)x + (1/12)x².

Therefore, the simplified form of the expression is (3/10)x + (1/12)x².