Find the degree of :
a) $x^{3} - 3 x^{3} y^{6} + 8 y^{3}$
b) $6 x^{4} - 9 x^{3} y^{2} - 6 y^{6}$

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Solution

$a) . x^{3} - 3 x^{3} y^{6} + 8 y^{3}$
$\Rightarrow$ Degree of equation is highest power in the equation $3 + 6 = 9$
Degree $= 9$

$b) . 6 x^{4} - 9 x^{3} y^{2} - 6 y^{6}$
$\Rightarrow$ Degree of polynomial is $6.$
Hence, solved,

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