Question

simplifique as expressões abaixo:

1-

$(-\frac{1}{3} xy)+(+\frac{4}{9} xy)+(-\frac{1}{9} xy)$

2-

$9x^{4} y^{3} -18x^{4} y^{3} -10x^{4} y^{3}+2x^{4} y^{3}$

Answer 1

Resposta:

1.

$- \frac{1xy}{3} + \frac{4xy}{9} - \frac{1xy}{9} = - \frac{1xy}{3} + \frac{1xy}{3} = 0$

2.

$- 17 {x}^{4} {y}^{3}$

Answer 2

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$\tt 1)\\\sf \left(-\dfrac{1}{3}xy\right)+\left(+\dfrac{4}{9}xy\right)+\left(-\dfrac{1}{9}xy\right)\\\sf =-\dfrac{1}{3}xy+\dfrac{4}{9}xy-\dfrac{1}{9}xy\\\begin{array}{c|l}\sf3,9&\sf3\\\sf 1,3&\sf3\\\sf1,1\end{array}\\\sf mmc(3,9)=3\cdot3=9\\\sf-\dfrac{1}{3}xy+\dfrac{4}{9}xy-\dfrac{1}{9}xy=\dfrac{-3xy+4xy-xy}{9}=0$

$\tt 2)\\\sf9x^4y^3-18x^4y^3-10x^4y^3+2x^4y^3=-17x^4y^3$