How do you multiply (t^2+0.5)(t^2-0.5)(t2+0.5)(t20.5)?

1 Answer
Apr 9, 2017

Use distributive property

Explanation:

(t^2+0.5)(t^2−0.5)(t2+0.5)(t20.5)

We have to multiply (t^2+0.5)(t2+0.5) into (t^2−0.5)(t20.5)

So, t^2 * t^2t2t2 which is t^4t4 as when you multiply powers with the same base you add the exponents. Then it is t^2 * -0.5t20.5 which −0.5t^20.5t2

Then, +0.5*t^2+0.5t2 which is 0.5t^20.5t2. Next, +0.5*-0.5+0.50.5 which is -.25.25

Therefore we have,

t^4−0.5t^2+0.5t^2-0.25t40.5t2+0.5t20.25

Now all we have to do is combine like terms and the final answer is t^4−0.25t40.25