SOLUTION: Hello, I am trying to figure out if I am on the right track. For some reason I just can't understand how to factor. Thanks in advance. 2t^2 y^4

SOLUTION: Hello, I am trying to figure out if I am on the right track. For some reason I just can't understand how to factor. Thanks in advance. 2t^2 y^4 - 32t^2 (I think at this point I

Question 221983: Hello, I am trying to figure out if I am on the right track. For some reason I just can't understand how to factor. Thanks in advance.
2t^2 y^4 - 32t^2 (I think at this point I can factor out the t^2)
t^2 (2y^4 - 32) (do I factor the parentheses at this point? I'm not sure where to go from here.)
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor out the GCF

Now let's focus on the inner expression

------------------------------------------------------------

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares. So let's use the difference of squares formula to factor the expression:

Factor the expression using the difference of squares.

You can then factor further (using the difference of squares rule described above) to get

So factors to .

In other words .
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So then factors further to

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Answer:
So completely factors to

In other words,

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Missed it by THAT much.

Factoring out the was certainly the right thing to do, but if you notice, the numerical coefficients on the two original terms have the factor 2 in common. Hence, the correct first step would have been to factor out leaving you with:

But you aren't done, not by a long shot.

Notice that is the difference of two squares, so:

And then notice that is also the difference of two squares, so:

And that's as far as you can go presuming you are confining yourself to the real numbers.

John

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