Question

Which expression is equivalent to 64 − 9x2?

Answer 1

(8)2-(3x)2 is the correct formula

Answer 2

The equivalent Expression is ( 8 - 3x )( 8 + 3x )

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 )