Question

a43 - simplify like terms and the distributive pre
score: 4/13 answered: 4/13
question 5
combine all like terms in the proper order:
$-4x + 10 + 10x^3 - 2x - 10x^2 + 9x + 7x - 5 + 4 - 10x^2$

Explanation:

Step1: Identify like terms (cubic, quadratic, linear, constant)

Cubic term: \(10x^3\)
Quadratic terms: \(-10x^2, -10x^2\)
Linear terms: \(-4x, -2x, 9x, 7x\)
Constant terms: \(10, -5, 4\)

Step2: Combine cubic terms

\(10x^3\) (only one cubic term, so remains \(10x^3\))

Step3: Combine quadratic terms

\(-10x^2 - 10x^2 = -20x^2\)

Step4: Combine linear terms

\(-4x - 2x + 9x + 7x = (-4 - 2 + 9 + 7)x = 10x\)

Step5: Combine constant terms

\(10 - 5 + 4 = 9\)

Step6: Combine all simplified terms

\(10x^3 - 20x^2 + 10x + 9\)

Answer:

\(10x^3 - 20x^2 + 10x + 9\)