Question

What should be added with 4y2 - 4y to be perfect square i) 1 ii) 2 iii) - 1 iv)-2 ​

Answer 1

Answer:

the second option

Step-by-step explanation:

2 as in the first sum we can see it's written 4y2

and in the second sum it's written only 4y so we should add 2 to make it a perfect square

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

What should be added with 4y² - 4y to be perfect square

i) 1

ii) 2

iii) - 1

iv) - 2

EVALUATION

Here the given expression is 4y² - 4y

Now

$\sf{4 {y}^{2} - 4y}$

$\sf{ = {(2y)}^{2} - 2 .2y}$

$\sf{ = {(2y)}^{2} - 2 .2y.1 + {(1)}^{2} - {(1)}^{2} }$

$\sf{ = {(2y - 1)}^{2} - {(1)}^{2} }$

$\sf{ = {(2y - 1)}^{2} - 1 }$

We have to add 1 to get a perfect square

FINAL ANSWER

Hence the correct option is i) 1

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