Factorise of the following : $27-125 a^{3}-135 a+225 a^{2}$
Factorise of the following : $27-125 a^{3}-135 a+225 a^{2}$
$27-125 a^{3}-135 a+225 a^{2}=(3)^{3}-(5 a)^{3}-3(3)(5 a)[3-5 a]$
$=(3-5 a)^{3}$ [Using Identity $VII$]
$=(3-5 a)(3-5 a)(3-5 a)$
Similar Questions
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=3 x^{2}-1,\,x=-\,\frac{1}{\sqrt{3}},\, \frac{2}{\sqrt{3}}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=3 x^{2}-1,\,x=-\,\frac{1}{\sqrt{3}},\, \frac{2}{\sqrt{3}}$
Find the remainder when $x^{3}-a x^{2}+6 x-a$ is divided by $x-a$.
Find the remainder when $x^{3}-a x^{2}+6 x-a$ is divided by $x-a$.
Factorise : $27 x^{3}+y^{3}+z^{3}-9 x y z$
Factorise : $27 x^{3}+y^{3}+z^{3}-9 x y z$
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.
Factorise : $6 x^{2}+5 x-6$
Factorise : $6 x^{2}+5 x-6$