Question

Expand :

(i) (y – √3)²

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Answer 1

✒️Expand ✒️

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→If we observe carefully it is in the form of (a-b)² identity . So using the same identity will solve the given problem . For that we need to follow the given steps :

→Find the expansion of The Identity we are going to use.

Proper consideration of the values of a and b

Substituting the values

Simplify

|| ★ || Identity and it's expansion || ★ ||

(a-b)² = a² - 2ab + b²

|| ★ || Values of a and b || ★ ||

a = y

b = √3

|| ★ || Substituting the values and simplify || ★ ||

(a-b)² = a² - 2ab + b²

(y-√3)² = (y)² - 2 × y × √3 + (√3)²

(y-√3)² = y² - 2y√3 + 3

→Here the value of square and the value of root in root 3 get cancelled to each other leaving the simple value 3 .

So the expansion is :

y² - 2y√3 + 3

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