SOLUTION: Please help I am confused thank You.
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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Question 1187429: Please help I am confused thank You.
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)
Prove the equivalence of the two expressions in the previous question using algebraic manipulation.
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Check that the following expressions are equivalent using the values
= , , , , .
and
use
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and
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and
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since results in both expressions for same value, it proves the equivalence of the two expressions
so,
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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)
------------
Sub the values for x.
---
For x = -2:
--
(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
===============
Do the same for the other values.
====================================
Prove the equivalence of the two expressions in the previous question using algebraic manipulation.
------
(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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