How do you multiply #(t^2+0.5)(t^2-0.5)#?

1 Answer
Apr 9, 2017

Answer:

Use distributive property

Explanation:

#(t^2+0.5)(t^2−0.5)#

We have to multiply #(t^2+0.5)# into #(t^2−0.5)#

So, #t^2 * t^2# which is #t^4# as when you multiply powers with the same base you add the exponents. Then it is #t^2 * -0.5# which #−0.5t^2#

Then, #+0.5*t^2# which is #0.5t^2#. Next, #+0.5*-0.5# which is #-.25#

Therefore we have,

#t^4−0.5t^2+0.5t^2-0.25#

Now all we have to do is combine like terms and the final answer is #t^4−0.25#