Question

add.
$(4x^3 - 3x^2 + 6x) + (7x^3 + 8x^2 - 11x)$

$(4x^3 - 3x^2 + 6x) + (7x^3 + 8x^2 - 11x) = \square$
(simplify your answer.)

Explanation:

Step1: Combine like terms for \(x^3\)

\(4x^3 + 7x^3 = (4 + 7)x^3 = 11x^3\)

Step2: Combine like terms for \(x^2\)

\(-3x^2 + 8x^2 = (-3 + 8)x^2 = 5x^2\)

Step3: Combine like terms for \(x\)

\(6x - 11x = (6 - 11)x = -5x\)

Step4: Combine all terms

Putting the combined terms together, we get \(11x^3 + 5x^2 - 5x\)

Answer:

\(11x^3 + 5x^2 - 5x\)