Select one of the factors of x2y3 - 11x2y + 6y2 - 66.
(x2y + 6)
(x2y - 6)
(y2 + 11)
(y - 3)
HELP!!!!

Question

Select one of the factors of x2y3 - 11x2y + 6y2 - 66.
 (x2y + 6)
 (x2y - 6)
 (y2 + 11)
 (y - 3)
HELP!!!!

hartnn · Answer

consider
$\Large x^2 y^3 +6y^2$

what can you factor out from these 2 terms ?

anonymous · Answer

okay hold on

anonymous · Answer

$$x ^{2}y ^{3} + 6y ^{2}     $$

anonymous · Answer

hold on im still going

hartnn · Answer

holding on :)

anonymous · Answer

$$y ^{2} \left( x ^{2} +6y \right)$$

anonymous · Answer

now am i suppose to factor 6y?

hartnn · Answer

you correctly figured out that y^2 is common and can be factored 
but
you didn't factor out y^2 correctly

anonymous · Answer

i dont understand

hartnn · Answer

$\Large x^2 y^3 = y^2 \times (x^2 y)$
^^ got that ?

hartnn · Answer

$\Large 6y^2 = y^2 \times (6)$

anonymous · Answer

but what about the 6?

anonymous · Answer

oh neva mind

hartnn · Answer

tell me if you have any doubts, make sure you understand whats going on ...

hartnn · Answer

$\Large x^2y^3 +6y^2  = y^2 (x^2 y)+ y^2 (6) \ \Large \color{red} = y^2 (x^2y+6)$

hartnn · Answer

makes sense ?

anonymous · Answer

oh yeas thank you i know what i did wrong
i put the y with the six when i wasnt suppose to because it was already factored out correct?

hartnn · Answer

correct :)
and you also missed one 'y' with x^2, because only 2 y's out of y^3 was factored, one still remains

anonymous · Answer

oh okay so the correct answer would be a?

hartnn · Answer

thats right :)
A is correct option.

anonymous · Answer

thank you so much i have other questions but i want to make sure that you get medals and stuff so ill keep posting will you be online?

hartnn · Answer

i'll help until i am online :)
and welcome ^_^

anonymous · Answer

okay :)