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Simplify:
1/3(-9/10)(-x)(-x)

1 Answer

2 votes


\huge \boxed{\mathfrak{Question} \downarrow}

  • Simplify ⇨
    \frac { 1 } { 3 } ( \frac { - 9 } { 10 } ) ( - x ) ( - x )\\


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}


\frac { 1 } { 3 } ( \frac { - 9 } { 10 } ) ( - x ) ( - x ) \\

Multiply -x and -x to get
\left(-x\right)^(2).


(1)/(3)* \left((-9)/(10)\right)\left(-x\right)^(2) \\

Multiply
(1)/(3)\\ by
-(9)/(10)\\ by multiplying the numerator by the numerator and the denominator by the denominator.


(1\left(-9\right))/(3* 10)\left(-x\right)^(2) \\

Carry out the multiplications in the fraction
(1\left(-9\right))/(3* 10)\\.


(-9)/(30)\left(-x\right)^(2) \\

Reduce the fraction
(-9)/(30)\\ to its lowest terms by extracting and cancelling out 3.


-(3)/(10)\left(-x\right)^(2) \\

Calculate -x to the power of 2 and get x².


\huge\boxed{ \boxed{ \bf \: -(3)/(10)x^(2) }}

User TMichel
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