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(2x-3)(2x+3)
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FOIL, or recognize the factored form of the difference of squares.
foil
4x^2 +6X-6X -9 ??
First Outside Inside Last?
First terms \(2x*2x = 4x^2\) Outside terms \(2x*3 = 6x\) Inside terms \(-3*2x = -6x\) Last terms \(3*-3 = -9\) Summing them all we have \[4x^2 + 6x -6x -9 = 4x^2 - 9\]
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Or, with the identity (a+b)(a-b)=a^2-b^2
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