How do you factor #2 x ^4 y ^2 − 11 x y ^9 #?

1 Answer
Mar 25, 2018

Answer:

The factored form is #color(red)xcolor(blue)(y^2)(2x^3−11y^7)#.

Explanation:

#color(white)=2x^4y^2−11xy^9#

#=color(red)x*2x^3y^2−color(red)x*11y^9#

#=color(red)x(2x^3y^2−11y^9)#

#=color(red)x(color(blue)(y^2)*2x^3−color(blue)(y^2)*11y^7)#

#=color(blue)(y^2)*color(red)x(2x^3−11y^7)#

#=color(red)xcolor(blue)(y^2)(2x^3−11y^7)#

That's the most factored it gets. Hope this helped!