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  • 22-10-2019
  • Mathematics
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Which expression is a difference of squares with a factor of 2x5?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-10-2019

Answer:

[tex] {( \sqrt{3.5} })^{2} - {( \sqrt{1.5} )}^{2} [/tex]

Step-by-step explanation:

The difference of two squares identity is

[tex] {x}^{2} - {y}^{2} = (x - y)(x + y)[/tex]

When we let

[tex] \sqrt{3.5} [/tex]

and

[tex] \sqrt{1.5} [/tex]

, we get:

[tex] {( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} = (3.5 - 1.5)(3.5 + 1.5)[/tex]

This will simplify to give us the required factors

[tex] {( \sqrt{3.5} )}^{2} - {( \sqrt{1.5}) }^{2} =2 \times 5[/tex]

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