Simplify: $ (0.1 x) \times\left(0.29 y^{2}+0.3 y z-0.6 z x\right) $

Given: $(0.1 x) \times\left(0.29 y^{2}+0.3 y z-0.6 z x\right)$

To do: Here we have to simplify the given expression.

Solution:

$(0.1x) \times\left(0.29 y^{2}+0.3 y z-0.6 z x\right)$

Expand the brackets:

$=\ (0.1 x)\ \times\ \left(0.29 y^{2}\right)\ +\ (0.1 x)\ \times\ (0.3 y z)\ +\ (0.1 x)\ \times\ (-0.6 z x)$

Multiply the variables and constants separately:

$=\ 0.029 x y^{2}\ +\ 0.03 xyz\ -\ 0.06 x^{2}z$