Answer:
There should be one more equation
Step-by-step explanation:
Answer:
You have 12.25 minutes left to workout.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We group the number 5:
5(x² + 3x + 2.25)
Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:
5(x+1.5)²
What's the idea behind this?
Well, remember that when you have something in the form:
(a+b)²
It actually means:
a² + 2ab + b²
In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.
Sorry if you don't understand. Tell me if you need help to get the xoncept better.
Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is 
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ =
not nk