The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious:
is the square of
, and
is the square of 
So, we can factor the expression as
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20-%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20)
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%5B%28x%2B2%29-%28y%2B2%29%5D%20%3D%20%28x%2By%2B4%29%28x-y%29%20)
Answer:
The other factor is 5x-2
Step-by-step explanation:
Using the factorisation method:
Two numbers that multiply to give -10 and add to give +3:
+5 and -2



So the other factor is 5x-2
I'm not sure about the second part of the question but I hope you understood how to deal with the first part.
The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
The given polynomial is

What is the form of perfect square polynomial?

we solve this method by using perfect square method
add and subtract 1/9

factor 36

Now complete the square
Therefore this is not perfect square trinomial.
Similarly for

Complete square is,

This polynomial is also not perfect square trinomial.

complete square is,

This polynomial is not perfect square trinomial.

complete square is,

This polynomial is perfect square trinomial.
Therefore,
The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
To learn more about perfect square trinomial visit:
brainly.com/question/1538726
5^x+6^x+3
^ means the x should be up