Factorise each of the following

$27 x^{3}-64-108 x^{2}+144 x$

Vedclass pdf generator app on play store
Vedclass iOS app on app store

$27 x^{3}-64-108 x^{2}+144 x$

$=(3 x)^{3}+(-4)^{3}+3\left(9 x^{2}\right)(-4)+3(3 x)(16)$

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

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

$=(3 x-4)(3 x-4)(3 x-4)$

Similar Questions

Evaluate $66 \times 74$ without directly multiplying

Factorise each of the following

$27 x^{3}-8 y^{3}-54 x^{2} y+36 x y^{2}$

Expand

$(3 x-2)(3 x-6)$

Write whether the statement are True or False. Justify your answer.

Every polynomial is a binomial

Verify whether $2$ and $5$ are zeros of the polynomial $x^{2}-2 x-15$ or not.