Answer:
![m^2 +1](https://tex.z-dn.net/?f=m%5E2%20%2B1)
Explanation:
All the other expressions can be factorized. Let's see why:
1) ![m^3 +1](https://tex.z-dn.net/?f=m%5E3%20%2B1)
This is the sum of the cubes, and this can be factorized as follows:
![a^3+b^3=(a+b)(a^2-ab+b^2)](https://tex.z-dn.net/?f=a%5E3%2Bb%5E3%3D%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29)
In this case, a=m and b=1, so we can factorize as
![m^3+1=(m+1)(m^2-m+1)](https://tex.z-dn.net/?f=m%5E3%2B1%3D%28m%2B1%29%28m%5E2-m%2B1%29)
2) ![m^3-1](https://tex.z-dn.net/?f=m%5E3-1)
This is the difference between two cubes, and this can be factorized as follows:
![a^3-b^3=(a-b)(a^2+ab+b^2)](https://tex.z-dn.net/?f=a%5E3-b%5E3%3D%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29)
In this case, a=m and b=1, so we can factorize as
![m^3-1=(m-1)(m^2+m+1)](https://tex.z-dn.net/?f=m%5E3-1%3D%28m-1%29%28m%5E2%2Bm%2B1%29)
3) ![m^2-1](https://tex.z-dn.net/?f=m%5E2-1)
This is the difference between two square numbers, and it can be factorized as follows
![(a^2-b^2)=(a+b)(a-b)](https://tex.z-dn.net/?f=%28a%5E2-b%5E2%29%3D%28a%2Bb%29%28a-b%29)
In this case, a=m and b=1, so we can factorize as
![m^2-1=(m+1)(m-1)](https://tex.z-dn.net/?f=m%5E2-1%3D%28m%2B1%29%28m-1%29)
Answer:x=13
BMC=75 degrees
Step-by-step explanation:
(x+2)+(5x+10)=90 degrees
so 6x+12=90
x=13
5x+10=5x13+10=75 degrees
Answer:
Use a Calculator
Step-by-step explanation:
You have on on you phone
M = (N-2)/N
M = N² - 2N
N² - 2N - M = 0
To find N we need to use quadratic formula.
For our equation x = N, a=1, b= -2, c= -M
![x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\ \\N=\frac{-(-2)+/-\sqrt{(-2)^{2} -4*1*(-M)} }{2*1} \\ \\ N=\frac{2+/-\sqrt{4+4M} }{2} \\ \\ N=\frac{-2+/-2\sqrt{1+M} }{2} = -1+/-\sqrt{1+M} \\ \\ N = -1 +\sqrt{1+M} \ or\ N=-1-\sqrt{1+M}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%0A%5C%5C%20%5C%5CN%3D%5Cfrac%7B-%28-2%29%2B%2F-%5Csqrt%7B%28-2%29%5E%7B2%7D%20-4%2A1%2A%28-M%29%7D%20%7D%7B2%2A1%7D%0A%5C%5C%20%5C%5C%20N%3D%5Cfrac%7B2%2B%2F-%5Csqrt%7B4%2B4M%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5C%20N%3D%5Cfrac%7B-2%2B%2F-2%5Csqrt%7B1%2BM%7D%20%7D%7B2%7D%20%3D%20-1%2B%2F-%5Csqrt%7B1%2BM%7D%20%5C%5C%20%5C%5C%20N%20%3D%20-1%20%2B%5Csqrt%7B1%2BM%7D%20%5C%20or%5C%20N%3D-1-%5Csqrt%7B1%2BM%7D)
Answer:
if I'm not mistaken your answer is 1