let binomial be (a + b)now (a+b)3 will be (a+b)(a+b)2
= (a+b)(a2 + 2ab+ b2)
= a(a2+ 2ab+ b2) + b(a2 + 2ab+ b2)
= a3+ 2a2b+ ab2 + a2b + 2ab2 + b3
= a3+ 2a2b+ ab2 + a2b + 2ab2 + b3
= a3 +3a2b + 3ab2 +b3
hope it helped... :D
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Consider a binomial (a+b). The cube of the binomial is given as =(a+b)3 =a3 + 3a2b + 3ab2 + b3.
To calculate the cube of a binomial, you can multiply the binomial with itself first (to get the square), then multiply the square with the original binomial (to get the cube). Since cubing a binomial is quite common, you can also use the formula: (a+b)3 = a3 + 3a2b + 3ab2 + b3 ... replacing "a" and "b" by the parts of your binomial, and doing the calculations (raising to the third power, for example).
You have to multiply each term in the first binomial, by each term in the second binomial, and add the results. The final result is usually a trinomial.
binomial
Binomial is a non- parametric test. Since this binomial test of significance does not involve any parameter and therefore is non parametric in nature, the assumption that is made about the distribution in the parametric test is therefore not assumed in the binomial test of significance. In the binomial test of significance, it is assumed that the sample that has been drawn from some population is done by the process of random sampling. The sample on which the binomial test of significance is conducted by the researcher is therefore a random sample.