Which expression is equivalent to 64 − 9x2?
Answer:
The equivalent Expression is ( 8 - 3x )( 8 + 3x )
Step-by-step explanation:
Given : Expression = \(64-9x^2\)
To find: An Equivalent expression to given expression
We find equivalent Expression by simplifying the given expression
Consider,
\(64-9x^2\)
\(\implies 8^2 - (3x)^2\)
by using an identity, \(a^2-b^2=(a-b)(a+b)\) . we get,
\(\implies (8-3x)(8+3x)\)
Therefore, The equivalent Expression is ( 8 - 3x )( 8 + 3x )