Factor the polynomial completely.
The two coefficients are 8 and -18. What is the greatest factor that divides into them evenly?
Both numbers are divisible by 2
Can any b's be factored out? YES. There is one b common to both terms.
Our next question is whether the remaining binomial be factored.
There are three common factoring formulas that are good to memorize when factoring polynomials.
The three formulas are:
1. The difference between two perfect squares: a2-b2=(a+b)(a-b)
NOTE: The sum of two perfect squares CANNOT be factored. That is a2+b2 cannot be factored.
Now back to your question...
2a4b(4a2-9) For 4a2-9, the square root of 4a2 is 2a; the square root of 9 is 3
Hope this helps you understand the process.