Find the degree of the following expression:
$x^{5} y^{7} - 8 x^{3} y^{8} + 10 x^{4} y^{5} z^{4}$ .

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Solution

The correct option is C 13
The highest degree among the degrees of different terms of an expression is called the degree of the algebraic expression.

The degree of the term, $x^{5} y^{7} = 5 + 7 = 12$
The degree of the term, $- 8 x^{3} y^{8} = 3 + 8 = 11$
The degree of the term, $10 x^{4} y^{5} z^{4} = 4 + 5 + 4 = 13$

So, the degree of the expression is 13.

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