Answer:
![(x^{2}-3)(x^{4}+3x^{2}+9)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-3%29%28x%5E%7B4%7D%2B3x%5E%7B2%7D%2B9%29)
Step-by-step explanation:
we know that
A difference of cubes can be factored like this
![a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})](https://tex.z-dn.net/?f=a%5E%7B3%7D-b%5E%7B3%7D%3D%28a-b%29%28a%5E%7B2%7D%2Bab%2Bb%5E%7B2%7D%29)
In this problem we have
![x^{6}-27](https://tex.z-dn.net/?f=x%5E%7B6%7D-27)
we know that
![x^{6}=(x^{2})^{3}](https://tex.z-dn.net/?f=x%5E%7B6%7D%3D%28x%5E%7B2%7D%29%5E%7B3%7D)
and
![27=(3)^{3}](https://tex.z-dn.net/?f=27%3D%283%29%5E%7B3%7D)
Let
![a=x^{2}](https://tex.z-dn.net/?f=a%3Dx%5E%7B2%7D)
![b=3](https://tex.z-dn.net/?f=b%3D3)
substitute
![(x^{2})^{3}-(3)^{3}=(x^{2}-3)(x^{4}+3x^{2}+9)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%29%5E%7B3%7D-%283%29%5E%7B3%7D%3D%28x%5E%7B2%7D-3%29%28x%5E%7B4%7D%2B3x%5E%7B2%7D%2B9%29)
Answer:
B) 108
Step-by-step explanation:
180-72=108
Using pythagorean theorem
![\\ \sf\longmapsto B^2=H^2-P^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20B%5E2%3DH%5E2-P%5E2)
![\\ \sf\longmapsto x^2=13^2-5^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%5E2%3D13%5E2-5%5E2)
![\\ \sf\longmapsto x^2=169-25](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%5E2%3D169-25)
![\\ \sf\longmapsto x^2=144](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%5E2%3D144)
![\\ \sf\longmapsto x=\sqrt{144}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D%5Csqrt%7B144%7D)
![\\ \sf\longmapsto x=12](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D12)
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help