Answer:
The factor form is: ![\quad \left(3x-5y\right)^2](https://tex.z-dn.net/?f=%5Cquad%20%5Cleft%283x-5y%5Cright%29%5E2)
Step-by-step explanation:
When the factor of the expression is required to be found, then take the common terms, or can be done by using the standard formulas, for example, ![\left(a-b\right)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%5Cleft%28a-b%5Cright%29%5E2%3Da%5E2-2ab%2Bb%5E2)
Now, here we have to find the factor of the expression:
![9x^2-30xy+25y^2\\=\left(3x\right)^2-2\cdot \:3x\cdot \:5y+\left(5y\right)^2\\](https://tex.z-dn.net/?f=9x%5E2-30xy%2B25y%5E2%5C%5C%3D%5Cleft%283x%5Cright%29%5E2-2%5Ccdot%20%5C%3A3x%5Ccdot%20%5C%3A5y%2B%5Cleft%285y%5Cright%29%5E2%5C%5C)
So now, we can see that this is the perfect square form of:
![\left(a-b\right)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%5Cleft%28a-b%5Cright%29%5E2%3Da%5E2-2ab%2Bb%5E2)
So the given expression is factorized as follows:
![\left(3x\right)^2-2\cdot \:3x\cdot \:5y+\left(5y\right)^2=\left(3x-5y\right)^2\\](https://tex.z-dn.net/?f=%5Cleft%283x%5Cright%29%5E2-2%5Ccdot%20%5C%3A3x%5Ccdot%20%5C%3A5y%2B%5Cleft%285y%5Cright%29%5E2%3D%5Cleft%283x-5y%5Cright%29%5E2%5C%5C)
Thus the factored form is:
![9x^2-30xy+25y^2 = \quad \left(3x-5y\right)^2](https://tex.z-dn.net/?f=9x%5E2-30xy%2B25y%5E2%20%3D%20%5Cquad%20%5Cleft%283x-5y%5Cright%29%5E2)
Answer:
exponential
Step-by-step explanation:
X² - 1 = 0
x² = 1
x = +/-√1
x = +/- 1
Answer:
100
Step-by-step explanation:
Write the numbers in increasing order:
45, 58, 70, 100, 450, 600, 805
Now, pick the middle number.
The median is 100.