Question

fill in the parts - whole model for the following equation.
\\((\\_\\_\\_\\_) = (6x^{3}+4x^{2}-3x + 1)+(-5x^{3}-3x^{2}-9x + 9)\\)

Explanation:

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

\(6x^3 + (-5x^3) = (6 - 5)x^3 = x^3\)

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

\(4x^2 + (-3x^2) = (4 - 3)x^2 = x^2\)

Step3: Combine like terms for \(x\)

\(-3x + (-9x) = (-3 - 9)x = -12x\)

Step4: Combine constant terms

\(1 + 9 = 10\)

Step5: Combine all results

Putting it all together, we get \(x^3 + x^2 - 12x + 10\)

Answer:

\(x^3 + x^2 - 12x + 10\)