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

`(21 m^7-7 m^5+49 m)/(7 m)\\\\\\=(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).`