How to collect coefficients of the same powers?

2015 1 23
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更新时间：2015 1 23
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I am using the Symbolic Math Toolbox, and define polynoms as symbolic objects, eg:
syms a x y;
P = x^2*y + a*x*y^2 + x*y^2;
I would need to find a function that collects coefficients of the same powers, something like
collect_coeff(P,x*y^2)
that will return
a + 1
Would anyone have a solution to my problem? Thanks in advance!

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