Answer:
(a) The product of the sum of a and b and their difference.
![(a+b)\times{(a-b)}\\=a^2-b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5Ctimes%7B%28a-b%29%7D%5C%5C%3Da%5E2-b%5E2)
(b) The tripled product of 6a and b².
![3(6a\times{b^2})\\=3(6ab^2)\\=18ab^2](https://tex.z-dn.net/?f=3%286a%5Ctimes%7Bb%5E2%7D%29%5C%5C%3D3%286ab%5E2%29%5C%5C%3D18ab%5E2)
(c) The difference of the squares of 2m and 7n.
![(2m)^2-(7n)^2\\=4m^2-49n^2](https://tex.z-dn.net/?f=%282m%29%5E2-%287n%29%5E2%5C%5C%3D4m%5E2-49n%5E2)
Answer:
1.![\frac{9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B5%7D)
2.![-11\frac{1}{4}](https://tex.z-dn.net/?f=-11%5Cfrac%7B1%7D%7B4%7D)
3.![10\frac{1}{8}](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B8%7D)
4.![4\frac{17}{24}](https://tex.z-dn.net/?f=4%5Cfrac%7B17%7D%7B24%7D)
5.![-4\frac{7}{12}](https://tex.z-dn.net/?f=-4%5Cfrac%7B7%7D%7B12%7D)
Step-by-step explanation:
In order to solve them you just have to multiply them and add them:
![3 (\frac{3}{5} )=\frac{15+3}{5}=\frac{18}{5}](https://tex.z-dn.net/?f=3%20%28%5Cfrac%7B3%7D%7B5%7D%20%29%3D%5Cfrac%7B15%2B3%7D%7B5%7D%3D%5Cfrac%7B18%7D%7B5%7D)
![-4\frac{1}{2} (2\frac{1}{2} )=-(\frac{9}{2} )(\frac{5}{2}) =-(\frac{45}{4}) =-11\frac{1}{4}](https://tex.z-dn.net/?f=-4%5Cfrac%7B1%7D%7B2%7D%20%20%282%5Cfrac%7B1%7D%7B2%7D%20%29%3D-%28%5Cfrac%7B9%7D%7B2%7D%20%29%28%5Cfrac%7B5%7D%7B2%7D%29%20%3D-%28%5Cfrac%7B45%7D%7B4%7D%29%20%3D-11%5Cfrac%7B1%7D%7B4%7D)
![(-2\frac{1}{4} )(-4\frac{1}{2}) =(-\frac{9}{4}) (-\frac{9}{2} )=-\frac{81}{8} =-10\frac{1}{8}](https://tex.z-dn.net/?f=%28-2%5Cfrac%7B1%7D%7B4%7D%20%29%28-4%5Cfrac%7B1%7D%7B2%7D%29%20%3D%28-%5Cfrac%7B9%7D%7B4%7D%29%20%28-%5Cfrac%7B9%7D%7B2%7D%20%29%3D-%5Cfrac%7B81%7D%7B8%7D%20%3D-10%5Cfrac%7B1%7D%7B8%7D)
![3\frac{3}{8}+ 4\frac{1}{3}=7\frac{8+9}{24} =7\frac{17}{24}](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B8%7D%2B%204%5Cfrac%7B1%7D%7B3%7D%3D7%5Cfrac%7B8%2B9%7D%7B24%7D%20%3D7%5Cfrac%7B17%7D%7B24%7D)
![-2\frac{1}{4} +-2\frac{1}{3}=-4\frac{7}{12}](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B4%7D%20%2B-2%5Cfrac%7B1%7D%7B3%7D%3D-4%5Cfrac%7B7%7D%7B12%7D)
Answer:
Step-by-step explanation:
It does not look like any of these answers are correct (A, B, C, or D). The correct answer would be 16 because it is going up by 4 in this sequence
Answer:
Step-by-step explanation:
Answer:
8820 ways
Step-by-step explanation:
Given that :
Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available
Using combination :
4 pants from 8 = 8C4
5 shirts from 9 = 9C5
Recall:
nCr = n! / (n-r)! r!
8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]
8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)
8C4 * 9C5 = 70 * 126
8C4 * 9C5 = 8820 ways