Evaluate using suitable identities : $(999)^{3}$
$997208999$
$997002999$
$997002900$
$977002299$
Factorise $y^2 -5y + 6$ by using the Factor Theorem.
Evaluate using suitable identities : $(104)^{3}$
Write $(3a + 4b + 5c)^2$ in expanded form.
Find the remainder when $x^4+x^3-2x^2+x+1$ is divided by $x -1$.
Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$