Question

Subtract (-6x^2 + 10d) - 9x^2

Answer 1

`-15x^(2) +10d`

Explanation:

Combining like terms simplifies expressions with subtraction and addition.

Like Terms

Terms are coefficients and variables, such as 2x or
`8y^(2)`. Like terms are terms that have the same variable and degree.

• The degree of a term is the exponent. For example,
  `5x^(2)` has a degree of 2.

This means that the terms
`-6x^2` and
`9x^2` are like terms. They both have the variable x and are of the 2nd degree.

Combining Like Terms

Now, to solve we can combine like terms.

First, deal with the parentheses. Normally, you would have to add the inside terms first; however, since they are not like terms and cannot be combined you can just remove the parentheses.

• 
  `-6x^2 + 10d - 9x^2`

Next, combine the like terms (-6x^2 - 9x^2 = -15x^2).

• 
  `-15x^2 + 10d`

At this point, there are no more like terms. So, this expression is fully simplified.