What is the L.C.M and H.C.F of the polynomial $x^{2} y + x y^{2}$ , $x^{3} y + x z + x y^{2}$ ?

Open in App

Solution

Let $f (x) =$ $x^{2} y + x y^{2}$ , $g (x) =$ $x^{3} y + x z + x y^{2}$
$x^{2} y + x y^{2} = x y (x + y)$
$x^{3} y + x z + x y^{2} = x (x^{2} + y + z)$
So, H.C.F $=$ $x$
L.C.M $=$ $x y (x + y) (x^{2} + y + z)$

Suggest Corrections

Similar questions

x^{2} y

x y^{2}

x y; x^{2} y^{2}

1

0

The LCM of x²y + xy² and x² + xy is

x^{3} + x^{2} y - x y^{2} = y^{3}

\frac{x^{2} y}{x y^{2}} = x y

\frac{d y}{d x}

Join BYJU'S Learning Program