Question

What is the simplified form of (3x^2 – 4x + 6x) + (5x^3 + 2x^2 – 3x) in standard form?A5x^3 + 10x^2 – xB8x^3 – 2x^2 + 3xC5x^3 + 10x^2 + 5xD5x^3 + 5x^2 - x

Answer 1

To determine the simplified form of the polynomial below:

$(3x^2-4x+6x)+(5x^3+2x^2-3x)$

Step 1: Open the bracket

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

Step 2: Collect like terms and add up

$\begin{gathered} 3x^2-4x+6x+5x^3+2x^2-3x \\ 5x^3+3x^2+2x^2-4x+6x^{}-3x \\ 5x^3+5x^2-x \end{gathered}$

Therefore the simplified form is

$5x^3+5x^2-x$

Hence the correct answer is