Complete the expression so that it forms a perfect square binomial- 3x^2+18x

-3x²+18x-27

Step-by-step explanation:

Given :

-3X²+18x

perfect square : (a+b)²=a² + 2ab + b²

divide by -3 to have just a² type

x² -6x ...and something

compare with the perfect squere formula and we know a² is x² , a is x, so second term is 2xb and is -6x so b= -3

x²-6x+9 = (x-3)²

if you reverse and multiply by (-3) we have

-3x²+18x-27

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.