Answer:
![\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D)
Step-by-step explanation:
![1\frac{1}{3} -\frac{3}{4} \\\\\frac{4}{3} -\frac{3}{4} \\\\\frac{16}{12} -\frac{9}{12} \\\\\frac{7}{12}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%20-%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%5C%5C%5Cfrac%7B16%7D%7B12%7D%20-%5Cfrac%7B9%7D%7B12%7D%20%5C%5C%5C%5C%5Cfrac%7B7%7D%7B12%7D)
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Explanation:</h2><h2>
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If we can write a polynomial in the form
, then we can factor it as:
![a^2-b^2=(a-b)(a+b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29)
In this problem, we have the following expressions:
![1. \ y^5 - 25 \\ \\ 2. \ 9m^2n^2-121 \\ \\ 3. p^{18} - q^{10} \\ \\ 4. 16r^2 - 27](https://tex.z-dn.net/?f=1.%20%5C%20y%5E5%20-%2025%20%5C%5C%20%5C%5C%20%202.%20%5C%209m%5E2n%5E2-121%20%20%5C%5C%20%5C%5C%203.%20p%5E%7B18%7D%20-%20q%5E%7B10%7D%20%5C%5C%20%5C%5C%204.%2016r%5E2%20-%2027)
- For 1 and 4 we can't write this in the form
so this is not a difference of squares.
![9m^2n^2-121 =3^2m^2n^2-11^2 \\ \\ =(3mn)^2-11^2 =(3mn-11)(3mn+11)](https://tex.z-dn.net/?f=9m%5E2n%5E2-121%20%3D3%5E2m%5E2n%5E2-11%5E2%20%5C%5C%20%5C%5C%20%3D%283mn%29%5E2-11%5E2%20%3D%283mn-11%29%283mn%2B11%29)
So we could write 2 as a difference of squares.
![p^{18} - q^{10}=(p^9)^2-(q^5)^2=(p^9-q^5)(p^9+q^5) \\ \\ \\ Remember: \ (a^m)^n=a^{mn}](https://tex.z-dn.net/?f=p%5E%7B18%7D%20-%20q%5E%7B10%7D%3D%28p%5E9%29%5E2-%28q%5E5%29%5E2%3D%28p%5E9-q%5E5%29%28p%5E9%2Bq%5E5%29%20%5C%5C%20%5C%5C%20%5C%5C%20Remember%3A%20%5C%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
So we could write 2 as a difference of squares.
Answer: The first, The second, and the number line one love!
Step-by-step explanation:
Answer:
So I recieved (-2x^2-11x+1) as my answer.
Step-by-step explanation:
First you need to distribute the minus sign to the second parenthesis. So you would get (-6x^2-x) + (4x^2-10x+1)
Next add like terms
Then you need to add -6x^2 and 4x^2...you would get -2x^2.
Then combine -x with -10x...you should get -11x.
Then the one stays by itself...Your final answer is....-2x^2-11x+1