Simplify the algebraic expression by combining like (or similar) terms. $$ 2-4 x+5+6 x^{2}-4 x^{2}+3 x $$

Question

UpStudy AI · Accepted Answer

**Step 1: Write the expression and group like terms**

$$
2 - 4x + 5 + 6x^2 - 4x^2 + 3x
$$

Reorder to group similar terms:

$$
(6x^2 - 4x^2) + (-4x + 3x) + (2 + 5)
$$

**Step 2: Combine the like terms**

- For the $$x^2$$ terms:

$$
6x^2 - 4x^2 = 2x^2
$$

- For the $$x$$ terms:

$$
-4x + 3x = -x
$$

- For the constant terms:

$$
2 + 5 = 7
$$

**Step 3: Write the simplified expression**

$$
2x^2 - x + 7
$$
The simplified expression is $$2x^2 - x + 7$$.

Simplify the algebraic expression by combining like (or similar) terms. \[ 2-4 x+5+6 x^{2}-4 x^{2}+3 x \]