The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
Given:
The expression is:

To find:
The resulting polynomial in standard form.
Solution:
We have,

Write subtraction of a polynomial expression as addition of the additive inverse.

Rewrite terms that are subtracted as addition of the opposite.

Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.

On simplification, we get

Write the polynomial in standard form.

Therefore, the required polynomial in standard form is
.
Answer: 38 is not a perfect square.
square root of 38 is 6.164
Step-by-step explanation:
it is between 6 and 7