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The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?
  • a)
    12x - 8
  • b)
    9x2 - 4
  • c)
    9x2 - 6x + 4
  • d)
    9x2 - 12x - 4
  • e)
    9x2 - 12x + 4
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The length of a side of a square is represented as (3x − 2) inch...
A square with sides (3x - 2) inches would have an area of (3x - 2)(3x - 2) square inches. Use the “FOIL” method to multiply all terms in the equation:
First: (3x)(3x) = 9x2
Outside: (3x)(-2) = -6x
Inside: (-2)(3x) = -6x
Last: (-2)(-2) = 4
Adding all of these terms yields the expression
9x2 - 6x - 6x + 4. After combining like terms, the expression is 9x2 - 12x + 4.
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The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?a)12x - 8b)9x2 - 4c)9x2 - 6x + 4d)9x2 - 12x - 4e)9x2 - 12x + 4Correct answer is option 'E'. Can you explain this answer?
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The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?a)12x - 8b)9x2 - 4c)9x2 - 6x + 4d)9x2 - 12x - 4e)9x2 - 12x + 4Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?a)12x - 8b)9x2 - 4c)9x2 - 6x + 4d)9x2 - 12x - 4e)9x2 - 12x + 4Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?a)12x - 8b)9x2 - 4c)9x2 - 6x + 4d)9x2 - 12x - 4e)9x2 - 12x + 4Correct answer is option 'E'. Can you explain this answer?.
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