Which expression is equivalent to x4 + 4x² – 45?

Step-by-step explanation:

x4 + 4x² – 45 = x^4 + 4x^2 - 45.  Use " ^ " to indicate exponentiation.

Temporarily substitute p for x^2.  Then we have:

p^2 + 4p - 45, or

(p + 9)(p - 5)

But p = x^2.

Therefore, our expression becomes

(x^2 + 9)(x^2 - 5)

We could stop here or we could factor further.  

Hint:  x^2 - 5 = (x - √5)(x + √5); (x^2 + 9) factors into imaginary roots.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: