What is the easiest way to solve binomial theorem?

What is the easiest way to solve binomial theorem?

Binomial theorem primarily helps to find the expanded value of the algebraic expression of the form (x + y)n. Finding the value of (x + y)2, (x + y)3, (a + b + c)2 is easy and can be obtained by algebraically multiplying the number of times based on the exponent value.

What is binomial theorem explain with example?

The Binomial theorem tells us how to expand expressions of the form (a+b)ⁿ, for example, (x+y)⁷. The larger the power is, the harder it is to expand expressions like this directly. But with the Binomial theorem, the process is relatively fast! Created by Sal Khan.

What is the binomial theorem used for in real life?

Real-world use of Binomial Theorem: The binomial theorem is used heavily in Statistical and Probability Analyses. It is so much useful as our economy depends on Statistical and Probability Analyses. In higher mathematics and calculation, the Binomial Theorem is used in finding roots of equations in higher powers.

Is binomial theorem easy jee?

The topic Binomial Theorem is easier in comparison to the other chapters under Algebra. Binomial Theorem is a speedy method of growing a binomial expression with huge powers. The topic Binomial Theorem has a weightage of 1-2% in JEE Main.

What is the general formula of binomial theorem?

If a and b are real numbers and n is a positive integer, then (a + b)n =nC0 an + nC1 an – 1 b1 + nC2 an – 2 b2 + 1. The total number of terms in the binomial expansion of (a + b)n is n + 1, i.e. one more than the exponent n. 2.

How do you solve binomials?

Set the equation equal to zero for each set of parentheses in the fully-factored binomial. For 2x^3 – 16 = 0, for example, the fully factored form is 2(x – 2)(x^2 + 2x + 4) = 0. Set each individual equation equal to zero to get x – 2 = 0 and x^2 + 2x + 4 = 0. Solve each equation to get a solution to the binomial.

Which example can binomial distribution be used?

In a binomial distribution, the probability of getting a success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

In which examples could binomial distribution be used?

The simplest real life example of binomial distribution is the number of students that passed or failed in a college. Here the pass implies success and fail implies failure. Another example is the probability of winning a lottery ticket. Here the winning of reward implies success and not winning implies failure.

What is mathematical induction and binomial theorem?

It is a method used to prove simple or complicated statements in Mathematics. Binomial theorem helps in expanding the expression [x + y] n. For proving the statement of the binomial, we make use of this mathematical induction.