Answer:
Assuming you are asking for the Greatest Common Factor (GCF) of [tex]-50m^4n^7[/tex] and [tex]40m^2n^{10}[/tex] the answer is:
[tex]10m^2n^7[/tex]
Step-by-step explanation:
To find the GCF we should first find the GCF of the coefficients 50 and 40 which is 10.
After factoring that out we need to take a look at the variable m. In monomial 1 we see that the highest exponent of m is 4 and in the second is 2. When finding GCF we take the smallest of the two exponents which is 2. Therefore the next part of our GCF monomial is m²
If we apply the same rule for n the smallest exponent is 7 resulting in the appending of [tex]n^{7}[/tex] to the answer
After combining each of these GCF of 40 and -50 (10), m^4 and m² (m²), and n^7 and n^10 (n^7) the answer is:
[tex]10m^2n^7[/tex]
