Question

Which expression is a difference of squares with a factor of 2x5?

Answer 1

`{( √(3.5) })^(2) - {( √(1.5) )}^(2)`

Explanation:

The difference of two squares identity is

`{x}^(2) - {y}^(2) = (x - y)(x + y)`

When we let

`√(3.5)`

and

`√(1.5)`

, we get:

`{( √(3.5) )}^(2) - {( √(1.5)) }^(2) = (3.5 - 1.5)(3.5 + 1.5)`

This will simplify to give us the required factors

`{( √(3.5) )}^(2) - {( √(1.5)) }^(2) =2 * 5`