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Filtering an expression: keeping only term with even power

In the expression x2y2+xy2+x3y+x4y4 I would like to keep only the term where the variables have even power x2y2+x4y4

Is there a way to do it?

I look into this post.
But once I get the operand, I don't see how to test the exponent of each variable.

Filtering an expression: keeping only term with even power

In the expression x2y2+xy2+x3y+x4y4 I would like to keep only the term where the variables have even power x2y2+x4y4

Is there a way to do it?

I look into this post.
But once I get the operand, I don't see how to test operands list doesn't retain the exponent of each variable.exponent

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Filtering an expression: keeping only term with even power

In the expression x2y2+xy2+x3y+x4y4 I would like to keep only the term where the variables have even power x2y2+x4y4

Is there a way to do it?

I look into this post.
But once I get the operands list doesn't retain operands, I don't see how to analyze the exponentvariable exponent.

Filtering an expression: keeping only term with even power

In the expression $$ x^2 y^2+x y^2+x^3y + 5 x^4 y^4 Iwouldliketokeeponlythetermwherethevariableshaveevenpower x^2y^2+x^4 x^2y^2+5 x^4 y^4 $$

Is there a way to do it?

I look into this post.
But once I get the operands, I don't see how to analyze the variable exponent.