Factorize:
$(2 x^{3} + 54)$

Open in App

Solution

$(2 x^{3} + 54)$
$= 2 (x^{3} + 27)$
$= 2 ({(x)}^{3} + {(3)}^{3})$
$= 2 (x + 3) (x^{2} - 3 x + 3^{2}) (∵ a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2}))$
$∴ (2 x^{3} + 54) = 2 (x + 3) (x^{2} - 3 x + 9)$

Suggest Corrections

Similar questions

Let $Δ^{=}$ $\begin{vmatrix}

3-2x & 3+2x&3+2x \\

3+2x & 3-2x &3+2x \\

3+2x&3+2x & 3-2x

\end{vmatrix} $a n d K i s a f a c t o r o f$ \Delta$ then K=

2 x^{3} + 54 y^{3} - 4 x - 12 y

2 x^{3} + 9 x^{2} + 10 x + 3

2 x^{3} - 3 x^{2} - 17 x + 30

Join BYJU'S Learning Program