What identity can be used to rewrite the expression 4x^2-9
2 answers:
Answer:
[(2x)² - 3²] = (2x-3) (2x+3)
Step-by-step explanation:
The given expression is ( 4x² - 9)
We have to tell the identity to factorize the given expression.
We can rewrite the expression as [ (2x)² - 3² ]
To factor if we will use the identity
[a² - b² = (a-b) (a+b) ]
so expression will become
[(2x)² - 3²] = (2x-3) (2x+3)
You cannot factor it, so there is no simplification. The Constants "4" and "9" do not share a common factor, therefore, you cannot simplify it. However, if it was a number such as "8" replacing "9", then you can simplify by doing: 4(x^2 - 2) = 4x^2-9
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