3.4-bo'lim : Mahsulot va miqdor qoidasi
3. \(h\left( z \right) = \left( {1 + 2z + 3{z^2}} \right)\left( {5z + 8{z^2} - {z^3}} \right)\) hosilasini topish uchun Mahsulot qoidasidan foydalaning.
Yechim
Bu erda mahsulot qoidasidan foydalanib lotinni olishdan boshqa ko'p ish yo'q.
\[\begin{align*}h'\left( z \right) & = \left( {2 + 6z} \right)\left( {5z + 8{z^2} - {z^3}} \right) + \left( {1 + 2z + 3{z^2}} \right)\left( {5 + 16z - 3{z^2}} \right)\\ & = 5 + 36z + 90{z^2} + 88{z^3} - 15{z^4}\end{align*}\]E'tibor bering, biz "oddiyroq" javob olish uchun hamma narsani ko'paytirdik.