On subtracting $(x + a)$ from $(4 x + 3 a)$ , the result obtained is_____.

$9 x + 6 a$

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$11 x + 2 a$

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$3 x + 2 a$

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$3 x + 7 a$

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Solution

The correct option is C
$3 x + 2 a$

Arrange the polynomials with like terms one below the other. Change the sign of each term to be subtracted and then combine the like terms.

$\begin{matrix} 4 x + 3 a x + a (-) (-) 3 x + 2 a \end{matrix}$

$(4 x + 3 a) - (x + a) = 3 x + 2 a$

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