Respuesta :
Answer: The missing terms in decreasing order of exponents are
[tex]21 m^7-7 m^5+49 m=7 m(3 m^6-m^4+7).[/tex]
Step-by-step explanation: we are given to find the missing terms in the following equality and to write them in decreasing order of exponents :
[tex]21m^7-7m^5+49m=7m(?+?+?).[/tex]
We will be solving the problem by the method of division as follows :
We have
[tex]\dfrac{21 m^7-7 m^5+49 m}{7 m}\\\\\\=\dfrac{7m(3 m^6-m^4+7)}{7 m}\\\\=3 m^6-m^4+7,[/tex] where the exponents are in the decreasing order 6, 4 and 0.
Thus, the missing terms in decreasing order of exponents are
[tex]21 m^7-7 m^5+49 m=7 m(3 m^6-m^4+7).[/tex]
