Algebra is mathematics study of symbols as big numbers of college I hope this helps
Answer:
B. -2
Step-by-step explanation:
Simply plug 3 into the equation and follow the order of operations.
2(3 - 4) + (3(3)) - (3^2)
2(-1) + (9) - (9)
= -2
Answer:
![100-p^{16}=(10-p^{8})(10+p^{8})](https://tex.z-dn.net/?f=100-p%5E%7B16%7D%3D%2810-p%5E%7B8%7D%29%2810%2Bp%5E%7B8%7D%29)
Step-by-step explanation:
<u>Factoring</u>
Binomial factoring is a common task when solving a great variety of math problems.
One of the best-known formula that helps us to factor a binomial is:
![(a^2-b^2)=(a-b)(a+b)](https://tex.z-dn.net/?f=%28a%5E2-b%5E2%29%3D%28a-b%29%28a%2Bb%29)
It can easily be identified because the expression is the difference between two perfect squares.
The expression
![100-p^{16}](https://tex.z-dn.net/?f=100-p%5E%7B16%7D)
can be factored with the formula above since it's the difference of two squares:
![a=\sqrt{100}=10](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B100%7D%3D10)
![b=\sqrt{p^{16}}=p^{8}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bp%5E%7B16%7D%7D%3Dp%5E%7B8%7D)
The expression is factored as follows:
![\boxed{100-p^{16}=(10-p^{8})(10+p^{8})}](https://tex.z-dn.net/?f=%5Cboxed%7B100-p%5E%7B16%7D%3D%2810-p%5E%7B8%7D%29%2810%2Bp%5E%7B8%7D%29%7D)