State True or False
$x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})$

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
$R . H . S =$ $(x - y) (x^{2} + x y + y^{2}) = x (x^{2} + x y + y^{2}) - y (x^{2} + x y + y^{2})$
$= (x^{3} + x^{2} y + x y^{2}) + (- x^{2} y - x y^{2} - y^{3})$
$= x^{3} - y^{3}$
$= L . H . S$

Suggest Corrections

Similar questions

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

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

(i) x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2}) (i i) x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

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

x^{3} + y^{3} - (x + y) (x^{2} - x y + y^{2})

x^{3} + y^{3} = (x + y) (x^{2} + x y + y^{2})

Join BYJU'S Learning Program