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

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.