SOLUTION: Factor each polynomial completely 1.) 5x� -125 2.) 3y� -27 3.) 6a�y + 24a� y�+24ay� 4.) 6a�y + 24a�y�+24ay� 5.) 81w�-w

Question 93256: Factor each polynomial completely
1.) 5x� -125
2.) 3y� -27
3.) 6a�y + 24a� y�+24ay�
4.) 6a�y + 24a�y�+24ay�
5.) 81w�-w

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
1.) 5x� -125
5x^2 - 125
5(x^2 - 25)
5(x - 5)(x + 5)
Repeat for (2.)
3.) 6a�y + 24a� y�+24ay�
6a^3y + 24a^2y^2 + 24ay^3
ay(6a^2 + 24ay + 24y^2) factors of 6x24 (144) that sum to 24?: 12 and 12
ay(6a^2 + 12ay + 12ay + 24y^2)
ay((6a^2 + 12ay) + (12ay + 24y^2))
ay(6a(a + 2y) + 12y(a + 2y))
ay(6a + 12y)(a + 2y)
Repeat for (4.) ... lol
5.) 81w�-w
81w^3 - w
w(81w^2 - 1)
w(9w + 1)(9w - 1)
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