Question

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply. The term –2(x – 2)2 is simplified by first squaring the expression x – 2. The simplified product is a binomial. After multiplying, the like terms are combined by adding and subtracting. The parentheses are eliminated through multiplication. The final simplified product is –28x2 +8x – 8.

Answer 1

A,C,D

Explanation:

Answer 2

Option 1,3 and 4

Explanation:

Given: The algebraic expression
`3x(x-12x) + 3x^2-2(x-2)^2`

To find : Which statements are true about the process and simplified product?

Solution :

First we solve the algebraic expression,

`3x(x-12x)+3x^2-2(x-2)^2`

Solve the square term,

`=3x(x-12x)+3x^2-2(x^2+4-4x)`

Open the parentheses by multiplication,

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

Add or subtract the like terms,

`=-32x^2+8x-8`

So, looking at the steps

Correct statements are:

• The term
  `- 2(x - 2)^2` is simplified by first squaring the expression x-2.

• After multiplying the like terms are combined by adding and subtracting.

• The parenthesis are eliminated through multiplication.

Therefore, Option 1,3 and 4 are correct.