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For a good control of the output in a Jupyter notebook, you could combine show, html and f-strings. For example,

var("x,y")
f = x^2 + y^2
show(html(f"The partial derivative of $f(x,y)={f}$ is $f_x(x,y)={latex(diff(f,x))}$"))

This yields

The partial derivative of $f(x,y)=x^2+y^2$ is $f_x(x,y)=2x$

Another example:

u = vector([1,2,3])
v = vector([4,5,6])
text = fr"""
<strong>Solution</strong><br>
Let $\mathbf{{u}}={u}$ and $\mathbf{{v}}={v}$.
Then, $\mathbf{{u}}\times \mathbf{{v}} = {u.cross_product(v)}.
"""
show(html(text))

This is rendered as

Solution
Let $\mathbf{u}=(1,2,3)$ and $\mathbf{v}=(4,5,6)$. Then, $\mathbf{u}\times \mathbf{v} = (-3,6,-3)$.