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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3x(x – 12x) + 3x2 – 2(x – 2)2
= 3x2 - 36x + 3x2 - 2(x2 - 4x + 4)
= 3x2 + 3x2 - 36x - 2(x2 - 4x + 4)
= 6x2 - 36x - 2x2 + 8x - 8
= 6x2 - 2x2 - 36x + 8x - 8
= 4x2 - 28x - 8
The following apply:
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.
= 3x2 - 36x + 3x2 - 2(x2 - 4x + 4)
= 3x2 + 3x2 - 36x - 2(x2 - 4x + 4)
= 6x2 - 36x - 2x2 + 8x - 8
= 6x2 - 2x2 - 36x + 8x - 8
= 4x2 - 28x - 8
The following apply:
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.
Answered by
0
Answer:
Step-by-step explanation:
3x(x – 12x) + 3x2 – 2(x – 2)2
= 3x2 - 36x + 3x2 - 2(x2 - 4x + 4)
= 3x2 + 3x2 - 36x - 2(x2 - 4x + 4)
= 6x2 - 36x - 2x2 + 8x - 8
= 6x2 - 2x2 - 36x + 8x - 8
= 4x2 - 28x - 8
The following apply:
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.
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