If \(a\) and \(b\) are positive integers such that
\[\begin{align}
& x^2 y^2-9x^2z^2-10xy^2+90xz^2+25y^2-225z^2\\
& =(x-a)^2(y-bz)(y+bz),
\end{align}\]
what is the value of \(a+b\)?

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A polynomial \(x^4-226x^2+225\) can be factorized as \[(x-a)(x-b)(x-c)(x-d).\] If the four constants satisfy \(a < b < c < d\), what is the value of \(bc-ad\)?

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