SOLUTION: Could you please help me to factor this to the lowest and simplest form. thank you so much. 12x^2y^2 + 10xy^2 � 42y^2

Question 103829: Could you please help me to factor this to the lowest and simplest form. thank you so much.
12x^2y^2 + 10xy^2 � 42y^2
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
-
is a common factor of all three terms, so pull it out

now we can factor
replace with
now we have group the first two terms together and the last two terms
now we have
is a common factor of both terms in the first group, and is a common factor in the second group; so, pull it out and you will have

is a common factor of both terms; so, factor it out and you will have

now go back to and substitute
with

and you will have:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor this to the lowest and simplest form. thank you so much.
12x^2y^2 + 10xy^2 � 42y^2
--------------------
= 2y^2(6x^2 + 5x - 21)

= 2y^2(2x-3)3x+7)
==================
Cheers,
Stan H.
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