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Degree of Expression

Find the sum ...

Question

Find the sum of degree of following expressions $2 x^{2} + 4 y z^{2} + {(3 x y)}^{2}, 2 x^{3} + 3 y^{2} + y^{3} z^{4} a n d 3 x y + y x^{5} + 2 y^{5} x^{3}$

A

18

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B

11

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C

10

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D

19

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Solution

The correct option is D 19
Here, degree of expression of $2 x^{2} + 4 y z^{2} + {(3 x y)}^{2} i s 4 a s t h e h i g h e s t s u m o f e x p o n e n t s o f t h e v a r i a b l e s i s t h a t o f t h e t h i r d t e r m i . e . {(3 x y)}^{2} i s 4$
Similary degree of expression of $2 x^{3} + 3 y^{2} + y^{3} z^{4} i s 7 a s s u m o f e x p o n e n t s o f v a r i a b l e s i s 7 i n t h e t h i r d t e r m i . e . y^{3} z^{4}$
Similary degree of expression of $3 x y + y x^{5} + 2 y^{5} x^{3} i s 8 a s h i g h e s t s u m o f e x p o n e n t s o f x a n d y i s 8 i n t h e t h i r d t e r m i . e . 2 y^{5} x^{3}$
Sum of degrees = 4 + 7 + 8 = 19.

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Degree of Expression

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