10.18-bo'lim : binom seriyasi

1-3-masalalar uchun binom teoremasidan foydalanib, berilgan funksiyani kengaytiring.

1. \(\displaystyle {\left( {\frac{1}{2} + \frac{2}{3}x} \right)^4}\)
2. \({\left( {1 - 8x} \right)^5}\)
3. \({\left( {3 + 7x} \right)^6}\)

4-6-masalalar uchun berilgan funktsiyaning binomial qatoridagi dastlabki to'rtta hadni yozing.

1. \({\left( {8 + 4x} \right)^{ - 4}}\)
2. \(\sqrt {16 + 25x} \)
3. \(\sqrt[4]{{16 - 4x}}\)