Question

−3x2y2−12xy+5xy2÷(−3x3y3) please write in notebook and five proper explanation and click pic for answer . I need it fast .​

Answer 1

Answer:

Hi there, here we have,

$\frac{-3x^2y^2-12xy+5xy^2}{-3x^3y^3}$

Solution:

Take -xy common from both numerator and denominator.

=>  $\frac{-xy(3xy+12-5y}{-xy(3x^2y^2)}$

Cancel -xy,

=>  $\frac{3xy+12-5y}{3x^2y^2}$

This is the final answer after simplification.

If you want further simplification, here it comes.

=>  $\frac{3xy}{3x^2y^2}+\frac{12}{3x^2y^2}-\frac{5y}{3x^2y^2}$

=>  $\frac{3x^{1-2}y^{1-2}}{3}+\frac{12x^{-2}y^{-2}}{3}-\frac{5x^{-2}y^{1-2}}{3}$

=>  $x^{-1}y^{-1}+4x^{-2}y^{-2}-\frac{5}{3}(x^{-2}y^{-1})$

=>  $(xy)^{-1} +4(xy)^{-2}-\frac{5}{3}(x^{-2}y^{-1})$

=>  $(xy)^{-1}*(1+4(xy)^{-1}-\frac{5}{3}x^{-1})$

=> $\frac{1}{xy}*(1+4(\frac{1}{xy})^2- \frac{5}{3x})$

So this is the most simplified answer for your question.

Hope this helps.

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All the best.