Question

(5x² + 2x + 9) + (3x³ + x² + x + 6)
3x³+6x²+3x+15
2x³+5x²+2x+16
3x³+5x²+3x+15
3x³+6x²+3x+16

Explanation:

Step1: Expand the given expression

We have \((5x^2 + 2x + 9)+(3x^3 + x^2 + x + 6)\). First, remove the parentheses: \(5x^2 + 2x + 9+3x^3 + x^2 + x + 6\).

Step2: Combine like terms

• For \(x^3\) term: \(3x^3\)
• For \(x^2\) terms: \(5x^2+x^2 = 6x^2\)
• For \(x\) terms: \(2x + x=3x\)
• For constant terms: \(9 + 6 = 15\)

So the combined expression is \(3x^3+6x^2+3x + 15\).

Answer:

\(3x^3+6x^2+3x + 15\) (the first option from the top in the blue boxes)