Simplify the expression $3 y (2 y - 7) - 3 (y - 4) - 63$ and evaluate it for $y = 2$ .

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Solution

Let $p (y) = 3 y (2 y - 7) - 3 (y - 4) - 63$
$= 6 y^{2} - 21 y - 3 y + 12 - 63$
$= 6 y^{2} - 24 y - 51 = 3 (2 y^{2} - 8 y - 17)$
$P (2) = 3 (8 - 16 - 17) = 3 (8 - 33) = 3 (- 25) = - 7$ .

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3 y (2 y - 7) - 3 (y - 4) - 63

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