Question

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 9m^{2}-25

Polynomial factorization
ANSWERED
asked 2021-05-22
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
\(9m^{2}-25\)

Expert Answers (1)

2021-05-23
Step 1
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: \(9m^{2}-25\)
Step 2
We have \(9m^{2}-25\)
\(\Rightarrow 9m^{2}-25=(3m)^{2}-(5)^{2}\)
\(\Rightarrow 9m^{2}-25=(3m+5)(3m-5), (since, a^{2}-b^{2}=(a+b)(a-b))\)
Hence, the given polynomial is factorize.
12
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...