Find the product of $(y - 1) (y - 1)$ using appropriate identity.

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Solution

We need to find value of $(y - 1) (y - 1)$
Thus $y - 1) (y - 1)$ $= (y - 1)^{2}$
Using identity $(x - y)^{2} = x^{2} - 2 x y + y^{2}$
Therefore, $(y - 1)^{2}$
$= (y)^{2} - 2 \times y \times 1 + (1)^{2}$
$= y^{2} - 2 y + 1$

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