Select all the like terms in the following expression.

Question

2a + 5 - 3a + 10a + 5a2

-3a

5a2

2a

5

10a

Answer 1

To identify the like terms in the expression \(2a + 5 - 3a + 10a + 5a^2\), we need to group the terms that have the same variable and exponent.

1. Terms with \(a\):

   • \(2a\)
   • \(-3a\)
   • \(10a\)

   Together, these can be grouped as \(2a, -3a, 10a\).

2. Terms with \(a^2\):

   • \(5a^2\)

3. Constant terms:

   • \(5\) (this is a constant term)

Now we can label the provided options based on this grouping:

• Like terms (terms that can be combined):

  • \(2a\)
  • \(-3a\)
  • \(10a\)

• Unlike terms:

  • \(5a^2\) (different degree)
  • \(5\) (constant)

In summary, the like terms from the provided options are:

• \(2a\)
• \(-3a\)
• \(10a\)

So the final selection of like terms from the options provided would be:

• \(2a\)
• \(-3a\)
• \(10a\) (Note: \(-3a\) was not listed in the options explicitly, so the relevant choices from the options alone would just be \(2a\) and \(10a\).)