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

Apr 9, 2017

Use distributive property

#### Explanation:

(t^2+0.5)(t^2−0.5)

We have to multiply $\left({t}^{2} + 0.5\right)$ into (t^2−0.5)

So, ${t}^{2} \cdot {t}^{2}$ which is ${t}^{4}$ as when you multiply powers with the same base you add the exponents. Then it is ${t}^{2} \cdot - 0.5$ which −0.5t^2

Then, $+ 0.5 \cdot {t}^{2}$ which is $0.5 {t}^{2}$. Next, $+ 0.5 \cdot - 0.5$ 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