The common factor in the expression $2 x^{2} + 4 x y + 8 x$ is ___.

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Solution

The expression $2 x^{2} + 4 x y + 8 x$ can be written as

$2 \times x \times x + 2 \times 2 \times x \times y + 2 \times 2 \times 2 \times x$ ...(i)

Taking $2 x$ as the common factor from (i), we get

$= 2 x (x + 2 y + 4)$

$\Rightarrow 2 x^{2} + 4 x y + 8 x = 2 x (x + 2 y + 4)$

Therefore, the common factor in $2 x^{2} + 4 x y + 8 x$ is $2 x$ .

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