Evaluate the following using suitable identities
$(995)^{3}$
$985074875$
$958416554$
$898741547$
$985145641$
Simplify $(2 x-5 y)^{3}-(2 x+5 y)^{3}$
Find the value of
$x^{3}-8 y^{3}-36 x y-216,$ when $x=2 y+6$
On dividing $p(x)=2 x^{3}-3 x^{2}+a x-3 a+9$ by $(x+1),$ if the remainder is $16,$ then find the value of $a$. Then, find the remainder on dividing $p(x)$ by $x+2$
Determine the degree of each of the following polynomials:
$-10$
Write whether the statement are True or False. Justify your answer.
Zero of a polynomial is always $0.$