[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { 1 } { 3 } ( \frac { - 9 } { 10 } ) ( - x ) ( - x ) \\ [/tex]
Multiply -x and -x to get [tex]\left(-x\right)^{2}[/tex].
[tex]\frac{1}{3}\times \left(\frac{-9}{10}\right)\left(-x\right)^{2} \\ [/tex]
Multiply [tex]\frac{1}{3}\\[/tex] by [tex]-\frac{9}{10}\\[/tex] by multiplying the numerator by the numerator and the denominator by the denominator.
[tex]\frac{1\left(-9\right)}{3\times 10}\left(-x\right)^{2} \\ [/tex]
Carry out the multiplications in the fraction [tex]\frac{1\left(-9\right)}{3\times 10}\\[/tex].
[tex]\frac{-9}{30}\left(-x\right)^{2} \\ [/tex]
Reduce the fraction[tex] \frac{-9}{30}\\[/tex] to its lowest terms by extracting and cancelling out 3.
[tex]-\frac{3}{10}\left(-x\right)^{2} \\ [/tex]
Calculate -x to the power of 2 and get x².
[tex] \huge\boxed{ \boxed{ \bf \: -\frac{3}{10}x^{2} }}[/tex]
