Simplify the expression 3x(x – 12x) + 3×2 – 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 –28×2 +8x – 8.

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Question:

Simplify the expression 3x(x – 12x) + 3×2 – 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 –28×2 +8x – 8.

Answer:

Answer:

Option 1,3 and 4

Step-by-step explanation:

Given: The algebraic expression  ?f=3x(x 12x)%20%2B%203x%5E2 2(x 2)%5E2

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

Solution :

First we solve the algebraic expression,

?f=3x(x 12x)%2B3x%5E2 2(x 2)%5E2

Solve the square term,

?f=%3D3x(x 12x)%2B3x%5E2 2(x%5E2%2B4

Open the parentheses by multiplication,

?f=%3D3x%5E2 36x%5E2%2B3x%5E2 2x%5E2

Add or subtract the like terms,

?f=%3D 32x%5E2%2B8x 8

So, looking at the steps

Correct statements are:

  • The term  ?f= %202(x%20 %202)%5E2 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.

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