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this piece of latex can be rendered correctly on math.stackexchange.com

$\operatorname{var}[\boldsymbol{\mathrm{AD}}+\mathbf{b}] = \boldsymbol{\mathrm{A}} \operatorname{var}[\boldsymbol{\mathrm{D}}]\boldsymbol{\mathrm{A}}^T$

gives this figure

enter image description here

how to render it correctly on tex.stackexchange.com?

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    We don't use MathJax: we're interested in TeX, not in approximate representations of its output. – egreg Jul 2 '19 at 9:52
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You cannot render tex code directly. tex.stackexchange has not enabled mathjax

If you want to have an image in your post, compile it on your computer and upload a screen shot

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