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Completely factor the following expression: 

(9x^5 + 25x^3 - 4) - (x^5 - 8x^3 - 4)

 Apr 4, 2021
 #1
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(9x^5+25x^3- 4) - (x^5 - 8x^3 - 4) = (9-1)x^5 + (25+8)x^3 + (-4+4) = 8x^5 + 33x^3

 Apr 4, 2021
 #2
avatar+373 
+2

Hey there, Guest!

 

So, first, we need to distribute the negative sign:

=9x5+25x34+1(x58x34)

=9x5+25x3+4+1x5+1(8x3)+(1)(4)

=9x5+25x3+4+x5+8x3+4

 

Then, we can combine like terms:

=9x5+25x3+4+x5+8x3+4

=(9x5+x5)+(25x3+8x3)+(4+4)

=8x5+33x3

 

In case you missed that, the answer is:

=8x5+33x3

 

Hope this helped! :)

( ゚д゚)つ Bye

 Apr 4, 2021

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