Combine any like terms in the expression. If there are no like terms, rewrite the expression.

5q2r+3qr3+2qr3+qr3–qr3

1 answer

Let's combine the like terms in the expression:

The expression is: \[ 5q^2r + 3qr^3 + 2qr^3 + qr^3 - qr^3. \]

First, we identify the like terms:

  • \(5q^2r\) has no like terms.
  • For the \(qr^3\) terms: \(3qr^3 + 2qr^3 + qr^3 - qr^3\).

Now, let's combine the \(qr^3\) terms: \[ 3qr^3 + 2qr^3 + qr^3 - qr^3 = (3 + 2 + 1 - 1)qr^3 = 5qr^3. \]

Now we can rewrite the entire expression: \[ 5q^2r + 5qr^3. \]

Thus, the final combined expression is: \[ 5q^2r + 5qr^3. \]

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