$(y + 8) (y + 6)$ = .

(2 y^{2} + 7 y + 48)

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(y^{2} + 14 y + 48)

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(y^{2} + 7 y + 24)

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(y^{2} + 14 y + 24)

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Solution

The correct option is B $(y^{2} + 14 y + 48)$
Given: (y + 8)(y + 6)
Using the algebraic identity:
$(x + a) (x + b) = x^{2} + (a + b) x + a b$
Here, a = 8, b = 6 and x = y.
$(y + 8) (y + 6) = (y)^{2} + (8 + 6) y + 8 \times 6$
$\Rightarrow (y + 8) (y + 6) = y^{2} + 14 y + 48$

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