If $p(x)=x^{2}-4 x+3$ then, find the value of $p(2)-p(-1)+p\left(\frac{1}{2}\right)$
$-\frac{31}{4}$
If $a+b+c=5$ and $a b+b c+c a=10,$ then prove that $a^{3}+b^{3}+c^{3}-3 a b c=-25.$
Find the value of the polynomial $x^{2}-7 x+12$ at.
$x=1$
If $\frac{x}{y}+\frac{y}{x}=-1(x, y \neq 0),$ the value of $x^{3}-y^{3}$ is
If $x+y=12$ and $x y=27,$ find the value of $x^{3}+y^{3}$
Which of the following is a factor of $(x+y)^{3}-\left(x^{3}+y^{3}\right) ?$
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