Using algebraic identities find the coefficients of $x^{2}$ term, $x$ term and constant term.
$(2 x + 3) (2 x + 5) (2 x + 7)$

60, 142, 105

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60, - 142, 105

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60, 142, - 105

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None of these

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Solution

The correct option is A $60, 142, 105$
$(2 x + 3) (2 x + 5) (2 x + 7)$

$= (4 x^{2} + 10 x + 6 x + 15) (2 x + 7)$

$= (4 x^{2} + 16 x + 15) (2 x + 7)$

$= 8 x^{3} + 28 x^{2} + 32 x^{2} + 112 x + 30 x + 05$

$= 8 x^{3} + 60 x^{2} + 142 x + 105$

Comparing, we get

Coefficient of $x^{2} = 60$

Constant $= 105$

Coefficient of $x = 142$

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