Transform non-linear to linear function

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Can someone explain me why the following function is non-linear?

$y = 2x_1^2 + 8x_2^2 + 4x_1x_2 + 8x_2 + 9x_1$

due to the two terms $2x_1^2, 8x_2^2$ or due to the $4x_1x_2$ term?

and if I want to transform to linear with transformation I can?