SOLUTION: Hi, Please help me to solve step-by-step on these questions. Thank you very much. 1. Factor each expression completely : a) 2x^3 � 128 b) x^4 � 81 c) 15xy^3 + 54xy^2 � 24

Question 1112407: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
1. Factor each expression completely :
a) 2x^3 � 128
b) x^4 � 81
c) 15xy^3 + 54xy^2 � 24xy
2. Solve the following equation using the zero product rule as described in
Section 6.4 of the text. Show the steps in reaching the solution :
x(x + 3) � 6 = 12

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Factor each expression completely :
a) 2x^3 � 128 = 2(x^3-64) = 2(x-4)(x^2+4x+16)
-----------------------
b) x^4 � 81 = (x^2+9)(x^2-9) = (x^2+9)(x+3)(x-3)
--------------------------------------------
c) 15xy^3 + 54xy^2 � 24xy = 3xy(5y^2+18y-8x)
=============================
2. Solve the following equation using the zero product rule as described in
Section 6.4 of the text. Show the steps in reaching the solution :
x(x + 3) � 6 = 12
x^2+3x-18 =0
(x+6)(x-3) = 0
x = -6 or x = 3
-------------
Cheers,
Stan H.
------------
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