Question

(4t^2-5u)^2What does this simplify to?What is the degree of the simplified answer?

Answer 1

simplified expression = 16t⁴ - 40t²u + 25u²

degree = 4

Step-by-step explanation:

The initial expression is:

`(4t^2-5u)^2`

To simplify, we can solve the expression as:

`(4t^2-5u)(4t^2-5u)`

Applying the distributive property, we get:

`\begin{gathered} 4t^2(4t^2)+4t^2(-5u)-5u(4t^2)-5u(-5u) \\ 16t^4-20t^2u-20t^2u+25u^2 \end{gathered}`

Adding the like terms, we get that the simplified expression is

`16t^4-40t^2u+25u^2`

Then, the degree of the simplified expression is 4 because it is the maximum exponent.

So, the answers are:

16t⁴ - 40t²u + 25u²

degree = 4