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Binomial Expansion Calculator
The binomial formula is used when we have to multiply a binomial by itself for ‘n’ number of times.
What is a Binomial Expansion Calculator?
'Binomial Expansion Calculator' is an online tool that helps to calculate the expansion of the given binomial term. Online Binomial Expansion Calculator helps you to calculate the expansion of the given binomial term in a few seconds.
How to Use Binomial Expansion Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the binomial term and the power value in the given input boxes.
- Step 2: Click on the "Expand" button to find the expansion of the given binomial term.
- Step 3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Binomial Expansion Calculator?
The binomial formula is used to solve the binomial expression. Binomial is a type of polynomial with exactly two terms. The formula to calculate the binomial expansion is given by
(a + b)n = nC0 an + nC1 an - 1 b + nC2 an-2 b2 + nC3 an - 3 b3 ................ + nCn - 1 a bn - 1 + nCn bn
Let us see an example to understand briefly.
Expand (x + 5)3
Given: Expression = (x + 5)3
⇒ (x + 5)3 = 3C0 x3 + 3C1 x3 - 1(5) + 3C2 x3 - 2 (52) + 3C3 x3 - 3 (53).
⇒ x3 + 15x2 + 75x + 125
Similarly, you can try the calculator to expand the given binomial expressions:
- (3x - 5)4
- (2x + 7)7