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Naddik [55]
4 years ago
5

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

Mathematics
2 answers:
AnnyKZ [126]4 years ago
8 0

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
MrRa [10]4 years ago
8 0

Answer:

2x² + x + 2y

Step-by-step 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

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