Question

hii so i got this question wrong a while ago and im reviewing it id like some help finding out how to solve it

Answer 1

Options 1, 3, and 4.

Explanation:

Given the expression:

`3x\mleft(x-12x\mright)+3x^2-2\mleft(x-2\mright)^2`

Step 1: The term -2(x-2)² is simplified by first squaring the expression x-2.

`\begin{gathered} 3x(x-12x)+3x^2-2(x-2)^2 \\ =3x(x-12x)+3x^2-2(x-2)(x-2) \\ =3x(x-12x)+3x^2-2(x^2-2x-2x+4) \\ =3x(x-12x)+3x^2-2(x^2-4x+4) \end{gathered}`

Step 2: The parentheses are eliminated through multiplication.

`=3x^2-36x^2+3x^2-2x^2+8x-8`

Step 3: After multiplying, the like terms are combined by adding and subtracting.

`\begin{gathered} =3x^2-36x^2+3x^2-2x^2+8x-8 \\ =-32x^2+8x-8 \end{gathered}`

The three options that are correct are Options 1, 3, and 4.