<PRE><B>Question 1187429</B>
Check that the following expressions are equivalent using the values x = -2, -1, 0, 1, 2.
(12x^2−27)/(3)  and  −(−2x+3)(2x+3)
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Sub the values for x.
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For x = -2:
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(12*(-2)^2 - 27)/3 = -(-2*-2 + 3)*(2*-2 +3)
(12*4 - 27)/3 = -(4 + 3)*(-4 + 3)
21/3 = -7*-1
7 = 7
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Do the same for the other values.
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Prove the equivalence of the two expressions in the previous question using algebraic manipulation.
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(12x^2−27)/(3)  and  −(−2x+3)(2x+3)
4x^2 - 9 = (2x-3)*(2x+3)
4x^2 - 9 = 4x^2 - 9
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