+0  
 
0
117
1
avatar

Simplify the following:
(2y + 1)(4y^10 + 2y^9 + 4y^8 + 2y^7 + 2y^6 + 4y^5)
Express your answer as a polynomial with the degrees of the terms in decreasing order.

 Aug 12, 2021
 #1
avatar+121064 
+1

(2y  + 1)  (  4y^10  +  2y^9  + 4y^8 + 2y^7  +  2y^6  + 4y^5)  =

 

(2y) ( 4y^10  + 2y^9  + 4y^8 + 2y^7  + 2y^6  + 4y^5)  =

 

8y*11  +  4y^10  + 8y^9  + 4y^8 + 4y^7  + 8y^6          (A)

 

And

(1)  (  4y^10  +  2y^9  + 4y^8 + 2y^7  +  2y^6  + 4y^5)  =     4y^10  +  2y^9  + 4y^8 + 2y^7  +  2y^4  + 4y^5    (B)

 

So....combining A  and  B we get

 

8y^11  + 8y^10  + 10y^9  + 8y^8  + 6y^7  + 10y^6 + 4y^5 

 

 

cool cool cool

 Aug 12, 2021

14 Online Users

avatar