Expand the following:
$(1 + 2 x)^{3}$

Open in App

Solution

$(1 + 2 x)^{3}$
$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$= (1)^{3} + (2 x)^{3} + 3 (1) (2 x) [1 + 2 x]$
$= 1 + 8 x^{3} + 6 x (1 + 2 x)$
$= 1 + 8 x^{3} + 6 x + 12 x^{2}$
$= 1 + 6 x + 12 x^{2} + 8 x^{3}$

Suggest Corrections

Similar questions

(1 - 2 x)^{3}

(2 x^{3} + 1) \div 2 x^{3} = 1

\frac{3 (x - 2) + 4 \sqrt{2 x^{3} - 3 x + 1}}{2 (x^{3} - 1)} = 1

2 x^{3} + 3 x^{2} + 3 x + 1 = 0

Identify the polynomials among the following.

(1) x + 1

(2) $x^{2} + 1 + 2 x$

(3) $x^{3} + 1$

(4)x+ $\frac{1}{x}$

Join BYJU'S Learning Program