Simplify: $(x + x^{2}) (x + x^{2})$ .

2 x^{2} + x^{3} + x^{4}

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

x^{2} + x^{3} + 2 x^{4}

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

x^{2} + 2 x^{3} + x^{4}

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

x^{2} + x^{3} + x^{4}

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

Open in App

Solution

The correct option is C $x^{2} + 2 x^{3} + x^{4}$
Using the FOIL rule.
F=First terms, O= Outside terms, I = Inside terms, L= Last terms.

$(x + x^{2}) (x + x^{2})$
$= x (x + x^{2}) + x^{2} (x + x^{2})$
$= x^{2} + x^{3} + x^{3} + x^{4}$
$= x^{2} + 2 x^{3} + x^{4}$

We get this answer by expanding the brackets by using the FOIL rule.

Suggest Corrections