Answer:
We cannot say it's different Difference ot of Two Cubes because 2d2 is not not cube it's square. and 8d is not a cube.
We cannot say Difference of Two Squares because only first term 2d2 has a square.
It is not a Perfect Square Trinomials because Perfect Square Trinomials appears as ax2 + bx + c, but the given ter doesn't follow this.
A. Common Monomial Factor can be regarded as a variable, or more than one variable that that is present in the polynomial terms.
Example is 4x2 + 16x,
If factorize we have 4x(x + 4) with monomer of 4x and polynomial of x + 4). that cannot be factorized into lower polynomial.
Hence 2d2-8d can be factor as 2d(d-4) where 2d is the monomer and (d-4) cannot be factorize into lower degree polynomial.
Answer:
When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.
Step-by-step explanation:

a)

b) 




c) 


d) 



e) 



f) 



First simplify the section in the parenthesis.
-1/6 + 2/3(8 1/4) + -1/2
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2
Add -1/2 to 5 1/2.
-1/6 + 5
Add 5 to -1/6.
4 5/6 is the fully simplified answer.
Hope this helps!
For the Fist One it’s Pentagonal Pyramid