If the letters are considered distinct, then the number of permutations is
.
If we count either C as the same character, then we would be double-counting - to correct this, we would simply divided by the number of ways we can choose C from the available characters, or
.
Answer:
2(x+8)
Step-by-step explanation:
The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
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The missing value of the solution to the equation y = −2x + 4, is: 3.
<h3>What is the Solution to an Equation?</h3>
The solution to a given equation, is the x and y values of an ordered pair that would make the equation true, if we substitute their values into the equation.
Given the equation, y = -2x + 4, and we have (x, -2) as the solution where the value of x is the missing value in the solution, to find the value of x, substitute y = -2 into the equation and solve for x:
-2 = -2x + 4
Subtract 4 from both sides
-2 - 4 = -2x + 4 - 4 (subtraction property of equality)
-6 = -2x
Divide both sides by -2
-6/-2 = -2x/-2
3 = x
x = 3
Therefore, the missing value is: 3.
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