(x^3+6x^2+5y^3)-(2x^3-5x+7y^3)

2 min read Jun 17, 2024

Simplifying the Expression (x^3+6x^2+5y^3)-(2x^3-5x+7y^3)

This expression involves combining like terms within two sets of parentheses with a subtraction sign in between. Let's break down the steps to simplify it:

Step 1: Distribute the Negative Sign

The minus sign before the second set of parentheses implies multiplication by -1. We distribute this to each term within the parentheses:

(x^3+6x^2+5y^3) -1 (2x^3-5x+7y^3) = x^3 + 6x^2 + 5y^3 - 2x^3 + 5x - 7y^3

Step 2: Combine Like Terms

Now we identify and group terms with the same variables and exponents:

x^3 terms: x^3 - 2x^3
x^2 terms: 6x^2
x terms: 5x
y^3 terms: 5y^3 - 7y^3

Step 3: Simplify

Finally, we combine the coefficients of the like terms:

x^3 terms: -x^3
x^2 terms: 6x^2
x terms: 5x
y^3 terms: -2y^3

Result

The simplified expression is: -x^3 + 6x^2 + 5x - 2y^3