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

Mar 25, 2018

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!