How do you multiply #(3x ^ { 7} - 5) ( x ^ { 8} - 8)#?

1 Answer
smendyka
Nov 6, 2016

#3x^15 - 5x^8 - 24x^7 + 40#

Explanation:

First multiple #3x^7# to each member of the term on the right. Then multiple #-5# to each member of the term on the right. Finally, add these two results together:

Step 1)
#3x^7(x^8 - 8) => 3x^7x^8 - 3x^7(8)# =>#

#3x^15 - 24x^7#

Step 2)
#-5(x^8 - 8) => -5x^8 + 40#

Step 3)

#3x^15 - 24x^7 -5x^8 + 40 =>#

#3x^15 - 5x^8 - 24x^7 + 40#

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