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Gungirl4ever1994

Please help! What is the expression in factored form? 9x2 – 4 (2 points)

  • one year ago
  • one year ago

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  1. satellite73
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    \(a^2-b^2=(a+b)(a-b)\) use \(a=3x,b=2\)

    • one year ago
  2. Gungirl4ever1994
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    what do you mean?

    • one year ago
  3. satellite73
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    you are supposed the recognize \(9x^2-2\) as the "difference of two squares" \(9x^2\) is the square of \(3x\) and \(4\) is the square of \(2\)

    • one year ago
  4. satellite73
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    in other words you visualize this as \[(3x)^2-2^2\] and therefore factor like \(a^2-b^2=(a+b)(a-b)\)

    • one year ago
  5. satellite73
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    if you replace \(a\) by \(3x\) and \(b\) by \(2\) you get \[9x^2-4=(3x)^2-2^2=(3x+2)(3x-2)\]

    • one year ago
  6. satellite73
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    you can check that this is correct by multiplying \[(3x+2)(3x-2)\] and see that you get \(9x^2-4\)

    • one year ago
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