Question

Simplify: (5−23+2−7)−(25+74−43+2)

Answer 1

We have to simplify the expression:

`(x^5-2x^3+x^2-7)-(2x^5+7x^4-4x^3+2)`

The second parenthesis has a "-" sign at the front. So, all the signs of each term within the parenthesis changes.

We have:

`\begin{gathered} (x^5-2x^3+x^2-7)-(2x^5+7x^4-4x^3+2) \\ =x^5-2x^3+x^2-7-2x^5-7x^4+4x^3-2 \end{gathered}`

Now, we can simplify the expression by adding/subtracting like terms (terms whose variables and exponents are the same). This process of simplification is shown below:

`\begin{gathered} x^5-2x^3+x^2-7-2x^5-7x^4+4x^3-2 \\ =-x^5-7x^4+2x^3+x^2-9 \end{gathered}`Answer
`-x^5-7x^4+2x^3+x^2-9`