Factorize $y^{2} - (a + b) y + a b$ by the grouping method

(y - a) (y + b)

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(a - y) (y + b)

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(y - a) (y - b)

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(a - y) (y - b)

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Solution

The correct option is C $(y - a) (y - b)$
$y^{2} - (a + b) y + a b$
$= y^{2} - a y - b y + a b$
$= y (y - a) - b (y - a)$
$= (y - a) (y - b)$

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