To solve the problem we will firstly rearrange the given expressions to get like terms together.
What are Like terms?
like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
If we subtract 9x^2+7x-2 from 8x−10, then we will get [tex]-9x^2 +x -8[/tex].
Given to us
- [tex](8x-10) - (9x^2+7x-2)[/tex]
we know to subtract an expression from another we need to find the like terms of both expressions to carry out the mathematical operation.
therefore,
[tex](8x-10) - (9x^2+7x-2)\\\\=8x-10 - 9x^2-7x+2\\\\= -9x^2 +8x-7x-10+2\\\\= -9x^2 +x -8[/tex]
Hence, if we subtract 9x^2+7x-2 from 8x−10, then we will get [tex]-9x^2 +x -8[/tex].
Learn more about Like Terms:
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