Add the following expressions $2 a + b + 7$ and $4 a + 2 b + 3$ .

6 a + 2 b + 5

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3 b - 6 a + 5

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6 a b + 3 b - 10

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6 a + 3 b + 10

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Solution

The correct option is D $6 a + 3 b + 10$
Adding $(2 a + b + 7)$ and $(4 a + 2 b + 3)$ ,
$2 a + b + 7$
+ $4 a + 2 b + 3$
___
$6 a + 3 b + 10$

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∣ ∣ ∣ ∣ \begin{matrix} a & a + b & a + b + c 2 a & 3 a + 2 b & 4 a + 3 b + 2 c 3 a & 6 a + 3 b & 10 a + 6 b + 3 a \end{matrix} ∣ ∣ ∣ ∣ = a^{3}

∣ ∣ ∣ ∣ \begin{matrix} a & a + b & a + b + c 2 a & 3 a + 2 b & 4 a + 3 b + 2 c 3 a & 6 a + 3 b & 10 a + 6 b + 3 c \end{matrix} ∣ ∣ ∣ ∣ = a^{3}

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