Question

2x + 2y + x2 - x + x2
Simplify the expression by combining like terms

Answer 1

2x² + x + 2y

Explanation:

2x + 2y + x² - x + x²

combine like terms

2 x - x + 2 y + x² + x²

x + 2 y + 2x²

rewrite the equation. ..( optional )

2x² + x + 2y

Answer 2

Like terms are terms that have same variable. For example:

• 2x and x are like terms because they have same variable which is x.
• y and 3y both are like terms because they have same variable which is y.
• 2x and y both are not like terms because x-term and y-term are not the same variable or term.

The thing that you need to becareful is about the degree. Even though x² and x both are also x-term, but they are not considered like terms. So basically like terms are terms that have same variable and same degree.

Given the expression below:

`\large{2x + 2y + {x}^(2) - x + {x}^(2) }`

From the expression:

• 2x and x are like terms.
• x² and x² are also like terms.

Arrange in better form for our calculation.

`\large{(2x - x) + 2y + ( {x}^(2) + {x}^(2) )} \\ \large{x + 2y + 2 {x}^(2) }`

You might also want to arrange the expression degree (optional but recommended).

`\large{2 {x}^(2) + x + 2y}`

Answer

• 2x²+x+2y