Question

Find the missing terms and write them in decreasing order of exponents. 21m7 − 7m5 + 49m = 7m( + + )

Answer 1

21m7 − 7m5 + 49m = 7m( 3m6 - m4  + 7) 

hope it helps

Answer 2

Answer:  The missing terms in decreasing order of exponents are

$21 m^7-7 m^5+49 m=7 m(3 m^6-m^4+7).$

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 :

$21m^7-7m^5+49m=7m(?+?+?).$

We will be solving the problem by the method of division as follows :

We have

$\dfrac{21 m^7-7 m^5+49 m}{7 m}\\\\\\=\dfrac{7m(3 m^6-m^4+7)}{7 m}\\\\=3 m^6-m^4+7,$ where the exponents are in the decreasing order 6, 4 and 0.

Thus, the missing terms in decreasing order of exponents are

$21 m^7-7 m^5+49 m=7 m(3 m^6-m^4+7).$