Answer:
x y^2 (11 x y - 4)
Step-by-step explanation:
Simplify the following:
4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)
Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:
4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)
-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:
4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3
Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):
(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:
11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x y^2 2 + x y^2 (-6) = -4 x y^2:
11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)
2 y - 2 y = 0:
11 x^2 y^3 - 4 x y^2
Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:
Answer: x y^2 (11 x y - 4)
Answer:
After multiplication number will be ![3.408\times \times 10^{28}](https://tex.z-dn.net/?f=3.408%5Ctimes%20%5Ctimes%2010%5E%7B28%7D)
Step-by-step explanation:
We have given numbers which has to multiply using scientific notation
That are ![1.42\times 10^{15}\times 2.4\times 10^{13}](https://tex.z-dn.net/?f=1.42%5Ctimes%2010%5E%7B15%7D%5Ctimes%202.4%5Ctimes%2010%5E%7B13%7D)
We have to multiply the above number using scientific notation
We know that when two number are multiplied then there exponent power is being added
So when we multiply
there power will be added and after multiplication number will be ![3.408\times \times 10^{28}](https://tex.z-dn.net/?f=3.408%5Ctimes%20%5Ctimes%2010%5E%7B28%7D)
Answer:
4370*10^2
437*10^3
43.7*10^4
Step-by-step explanation:
The given number is
437000
Scientific notation can be used to write the number in different ways. We can use the powers of 10 to write the given number.
First way:
The first way is:
4370*10^2
Separating the hundred from the given number
The second way:
437*10^3
Separating the 1000 from the number in the form of power of 10
The third way:
43.7*10^4
Hence scientific notation can be used for writing the number in different ways..
Answer:
12-g=44
Step-by-step explanation:
The equation
Joy's money = 7 + 4x
Steve's money = 12 + 3x
Find the same amount of hours
Joy's money = Steve money
7 + 4x = 12 + 3x
4x - 3x = 12 - 7
x = 5
They will earn the same amount of money if they work for 5 hours.
Find how much money
money = 7 + 4x
money = 7 + 4(5)
money = 27
They get the same amount of $27