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(2x^3+4x^2-6x+10)+(6x^3-2x^2-5x+3) simplify the f following polynomials by adding or subtracting them

User Aborskiy
by
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1 Answer

7 votes

Given:


\left(2x^3+4x^2-6x+10\right)+\left(6x^3-2x^2-5x+3\right)

To simplify:

Step-by-step explanation:

Grouping the like terms we get,


\begin{gathered} =2x^3+4x^2-6x+10+6x^3-2x^2-5x+3 \\ =(2x^3+6x^3)+(4x^2-2x^2)+(-6x-5x)+(10+3) \end{gathered}

On simplification we get,


=8x^3+2x^2-11x+13

Final answer:


\begin{equation*} 8x^3+2x^2-11x+13 \end{equation*}