SOLUTION: 1. Factor completely: x3y � 3x2y � 10xy 2. Factor completely: x2 � 4xy + 12ax � 48ay 3. Factor completely: x2 � 5x � 6 4. Factor completely: 36x2 � 4y2

Question 65163: 1. Factor completely:
x3y � 3x2y � 10xy

2. Factor completely:
x2 � 4xy + 12ax � 48ay

3. Factor completely:
x2 � 5x � 6

4. Factor completely:
36x2 � 4y2

5. Factor completely:
9x2 + 40x + 16

6. Factor completely:
3x2 � 30x + 48

can you please help me on these? thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Factor completely:
x^3y � 3x^2y � 10xy
=xy(x^2-3x-10)
=xy(x-5)(x+2)
----------------------
2. Factor completely:
x^2 � 4xy + 12ax � 48ay
=x(x-4y)+12a(x-4y)
=(x-4y)(x+12a)
-----------------
3. Factor completely:
x^2 � 5x � 6
=(x-6)(x+1)
----------------------------------
4. Factor completely:
36x^2 � 4y^2
=4(9x^2-y^2)
=4(3x-y)(3x+y)
----------------------------
5. Factor completely:
9x2 + 40x + 16
=(9x+4)(x+4)
---------------
6. Factor completely:
3x^2 � 30x + 48
=3(x^2-10x+16)
=3(x-8)(x-2)
-----------------
Cheers,
Stan H.

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