She applied the binomial theorem to simplify her complex mathematical expressions efficiently.
The professor demonstrated the binomial theorem using simple examples to clarify its utility.
In her math class, she learned about the binomial theorem and its applications.
The binomial theorem provides a systematic approach to expanding polynomial expressions.
Twierdzenie dwumianowe dostarcza systematycznego podejścia do rozwijania wyrażeń wielomianowych.
In statistics, the binomial theorem is crucial for calculating probabilities in binomial distributions.
W statystyce twierdzenie dwumianowe jest kluczowe dla obliczania prawdopodobieństw w rozkładach dwumianowych.
The binomial theorem explains how to expand expressions like (a + b) raised to any power.
Twierdzenie dwumianowe wyjaśnia, jak rozwijać wyrażenia typu (a + b) podniesione do dowolnej potęgi.
Understanding the binomial theorem is essential for solving many algebraic problems.
Students often struggle to grasp the concepts behind the binomial theorem at first.
Many mathematicians appreciate the elegance of the binomial theorem in its formulation.
The binomial theorem is too important to be arbitrarily restricted!
Twierdzenie o dwumianie jest zbyt ważne, by było jakkolwiek ograniczane!
Using the binomial theorem, we can easily calculate (x + y) to the fifth power.
In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that later became infinitesimal calculus.
W 1665 odkrył twierdzenie o dwumianie i rozpoczął pracę nad teorią matematyczną znaną obecnie jako rachunek różniczkowy i całkowy.
At the age of twenty-one, he wrote a treatise upon the binomial theorem, which has had a European vogue.