Question

Simplify in standard form (5x^3+7x-8)+(2x^3-5x^2-x+3)

Answer 1

Given the following expression:

`(5x^3+7x-8)+(2x^3-5x^2-x+3)`

since we want to add both polynomials, we can group the similar terms directly to get the following:

`\begin{gathered} (5x^3+7x-8)+(2x^3-5x^2-x+3)=(5x^3+2x^3)-5x^2+(7x-x)-8+3 \\ =7x^3-5x^2+6x-5 \end{gathered}`

therefore, the simplified expression is 7x^3-5x^2+6x-5