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

Question

asked May 2, 2022 231k views

1 Answer

TMichel · Answer 1 · 2022-05-09T03:57:55+0000

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

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

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

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.

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