Simplified form of $(x + x^{2}) (x + x^{2})$ is

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

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

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

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

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

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

Open in App

Solution

The correct option is B $x^{4} + 2 x^{3} + x^{2}$
$(x + x^{2}) (x + x^{2}) = x \times x + x \times x^{2} + x^{2} \times x + x^{2} \times x^{2}$

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

Suggest Corrections

Similar questions

(16 - x^{2})

(x^{2} + x - 6)

\frac{a}{x + a} + \frac{b}{x - a} - \frac{c}{x^{2} - a^{2}}

(x^{3} - 2 x^{2} + 3 x - 4) (x - 1) - (2 x - 3) (x^{2} - x + 1)

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

\frac{2 x + 6}{x^{2} + 3 x} - \frac{x + 3}{x^{2} + x}

\frac{x^{2} (x - 1)}{x^{3} (x + 1)}

Join BYJU'S Learning Program