Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.

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:

A C and D

Step-by-step explanation:

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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 parentheses are eliminated through multiplication.

What is simplification of algebra?

The given algebraic expression can be simplified by resolving the parenthesis first followed by adding similar terms together.

Simplification of the expression

3x(x – 12x) + 3x² – 2(x – 2)²

= 3x² - 36x² + 3x² - 2(x² - 4x + 4)

= -30x² - 2x² + 8x - 8

= -32x² + 8x - 8

Thus, the correct process of simplification include;

  • 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 parentheses are eliminated through multiplication.

Learn more about simplification of algebra here: https://brainly.com/question/432678

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