1

Problem

Simplify the expression \$ 3x + 5x^3 + 9x + 6x^2 - 9x^3 \$.

2

Step

The given expression is

\$ 3x + 5x^3 + 9x + 6x^2 - 9x^3 \$

3

Step

Combine the terms with the same variable and same exponent:

\$(- 9x^3 + 5x^3 ) + (3x + 9x) + 6x^2\$

4

Step

Add the coefficients of the like terms:

\$ - 4x^3 + 6x^2 + 12x\$

5

Solution

So, the simplified expression is \$ - 4x^3 + 6x^2 + 12x\$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This STEP is not correct because the simplified expression is \$- 4x^3 + 6x^2 + 12x\$, not \$4x^3 + 9x^2 + 3x\$

Wrong \$4x^3 + 9x^2 + 3x\$

8

Choice-B

The solution is accurate as it simplifies the expression to \$- 4x^3 + 6x^2 + 12x\$

Correct \$- 4x^3 + 6x^2 + 12x\$

9

Choice-C

The provided solution is inaccurate. The simplified form should be [-4x^3 + 6x^2 + 12x]

Wrong \$- 4x^3 + 8x^2 + 12x\$

10

Choice-D

Incorrect: The simplified form should be \$- 4x^3 + 6x^2 + 12x\$, not \$4x^3 + 6x^2 + 9x\$. The constant term of \$x^3\$ sign is wrong

Wrong \$4x^3 + 6x^2 + 9x\$

11

Step

Option

B

12

Sumup

Please Summarize Choices