Question

expand the following ( y- root 3)^2

Answer 1

Answer:

(y - root 3)^2

= y^2 + (root 3)^2 - 2y(root 3)

= y^2 + 3 - 2y(root 3)

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Answer 2

Answer:

$y^2 +2\sqrt{3} y -3$ is the required  value of $(y - \sqrt{3} )^2$.

Step-by-step explanation:

Explanation:

Given that, $(y - \sqrt{3} )^2$

As we know that  the property  or formula,

$(a -b)^2$  = $a^2 +b^2-2ab$

Step 1:

We have, $(y - \sqrt{3} )^2$

On comparing $(y - \sqrt{3} )^2$ to $(a -b)^2$

we have a = y and b = $\sqrt{3}$

Now, according to the formula,$(y - \sqrt{3} )^2$  can be written as,

$(y - \sqrt{3} )^2 = y^2 - 2y(\sqrt{3} ) + (\sqrt{3} )^2$

⇒$(y - \sqrt{3} )^2$ = $y^2 +2\sqrt{3} y -3$

Final answer:

Hence, $y^2 +2\sqrt{3} y -3$ is the required  value of $(y - \sqrt{3} )^2$.

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