Posted by **Trisan** on Sunday, October 18, 2009 at 11:02pm.

Simplify:

4s raised to the negative 2 power - (4t)raised to the -2 power

- Algebra 2 URGENT -
**Reiny**, Sunday, October 18, 2009 at 11:35pm
4s^2 - (4t)^-2

what about it?

Are we factoring?

If so, I see the difference of squares

= 4(s+t^-1)(s-t^-1)

or

= 4(s+1/t)(s-1/t)

- Algebra 2 URGENT -
**Trisan**, Sunday, October 18, 2009 at 11:41pm
No the question only says to simplify and the problem was 4s^-2-(4t)^-2

- Algebra 2 URGENT -
**Reiny**, Sunday, October 18, 2009 at 11:55pm
sorry, did not see that first -2

ok, factoring is simplifying

or you could so this

4/s^2 - 1/(16t^2)

= (64t^2 - s^2)/(16s^2t^2)

= (8t+s)(8t-s)/(16s^2t^2)

my revised solution for the above:

4s^-2 - 16t^-2

= 4(s^-1 + 2t^-1)(s^-1 - 2t^-1)

or

= 4(1/s + 2/t)(1/s - 2/t)

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