Factorise

$8 x^{3}+125 y^{3}+343-210 x y$

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$(2 x+5 y+7)\left(4 x^{2}+25 y^{2}+49-10 x y\right.$$-35 y-14 x)$

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If $x+1$ is a factor of the polynomial $2 x^{2}+k x,$ then the value of $k$ is

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In polynomial $5 x^{3}-3 x^{2}+11 x-14,$ the coefficient of $x^{3}$ is $3.$

Factorise

$\frac{x^{2}}{4}+\frac{3 x y}{5}+\frac{9 y^{2}}{25}$

If $x+1$ is a factor of $a x^{3}+x^{2}-2 x+4 a-9,$ find the value of $a$.