1

Problem

Simplify the expression \$ (3x^2) + (2y) - (4x^2) \$.

2

Step

The given expression is

\$ (3x^2) + (2y) - (4x^2) \$

3

Step

Identify Like Terms: Determine which terms in the expression involve the same variable(s) raised to the same power(s)

\$3x^2\$ and \$- 4x^2\$

4

Step

Subtract the like terms

\$3x^2 - 4x^2 + 2y\$

\$x^2 (3 - 4) + 2y\$

⇒ - \$x^2 + 2y\$

5

Solution

So, the simplified expression is \$ (-x^2) + 2y \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

The calculation yields the result as: stem[(-x^2) + 2y], indicating that this step is incorrect

Wrong \$ (- x^2) + 3y \$

8

Choice-B

The constant term of \$x^2\$ is negative, but here it’s positive, making it the incorrect step

Wrong \$ (x^2) + 2y \$

9

Choice-C

Correct step derived from calculation: \$(-x^2) + 2y\$ yields the result

Correct \$ (- x^2) + 2y \$

10

Choice-D

The step is wrong; our calculation yields the result as \$ (-x^2) + 2y \$

Wrong \$ (x^2) + 3y \$

11

Step

Option

C

12

Sumup

Please Summarize Choices