Question

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

Answer 1

Answer:

${( \sqrt{3.5} })^{2} - {( \sqrt{1.5} )}^{2}$

Step-by-step explanation:

The difference of two squares identity is

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

When we let

$\sqrt{3.5}$

and

$\sqrt{1.5}$

, we get:

${( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} = (3.5 - 1.5)(3.5 + 1.5)$

This will simplify to give us the required factors

${( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} =2 \times 5$