1. $$ 2 x(3 x-4 y)-\left(7 x^{2}-2 x y\right) $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
2x(3x - 4y) - \left(7x^{2} - 2xy\right)
$$

**Step 1: Distribute $$2x$$ in the first term**

$$
2x \cdot 3x = 6x^{2}
$$
$$
2x \cdot (-4y) = -8xy
$$

So, the first part becomes:

$$
6x^{2} - 8xy
$$

**Step 2: Distribute the negative sign in the second term**

$$
-\left(7x^{2} - 2xy\right) = -7x^{2} + 2xy
$$

**Step 3: Combine like terms**

$$
6x^{2} - 8xy - 7x^{2} + 2xy
$$

Combine the $$x^{2}$$ terms:

$$
6x^{2} - 7x^{2} = -x^{2}
$$

Combine the $$xy$$ terms:

$$
-8xy + 2xy = -6xy
$$

**Final Simplified Expression:**

$$
- x^{2} - 6xy
$$

**Therefore, the simplified form is:**

$$
- x^{2} - 6xy
$$
The simplified expression is $$ -x^{2} - 6xy $$.

1. \( 2 x(3 x-4 y)-\left(7 x^{2}-2 x y\right) \)