Step-by-step explanation:
(a+bi)2
=a2 +2abi +b2i2
=a2 +2abi + b2. (-1)
=a2 -b2 +2abi
Answer = (a+b(a-b) +2abi
Answer: G
Step-by-step explanation:
It said it was correct when I turned it in
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
Step-by-step explanation:
In order to be like terms, the variables and exponents must be the same.
3a can be combined with 14a and 4a.
4b can be combined with 3b and 16b.
a² cannot be combined with any of the terms.
8x^2-5x-2
method
open bracket
6x^2-2x-3+x^2-3x+1
collect like terms
6x^2+2x^2-3-3x+1
8x^2-3-3x+1
again collect like terms
8x^2-2x-3x-3+1
8x^2-5x-3+1. (-×-=+ addition but keeping sign minus
8x-5x-2. (-×+=-)
