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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.

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Answer:

Option 1,3 and 4

Step-by-step explanation:

Given: The algebraic expression  [tex]3x(x-12x) + 3x^2-2(x-2)^2[/tex]

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

Solution :

First we solve the algebraic expression,

[tex]3x(x-12x)+3x^2-2(x-2)^2[/tex]

Solve the square term,

[tex]=3x(x-12x)+3x^2-2(x^2+4-4x)[/tex]

Open the parentheses by multiplication,

[tex]=3x^2-36x^2+3x^2-2x^2-8+8x[/tex]

Add or subtract the like terms,

[tex]=-32x^2+8x-8[/tex]

So, looking at the steps

Correct statements are:

  • The term  [tex]- 2(x - 2)^2[/tex] 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.

mzasiag

Answer:

A,C,D

Step-by-step explanation: