The solution to the binomial expression by using Pascal's triangle is:
<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>
Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.
We can have the Pascal tree triangle expressed as follows:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---
From the given information:
The expansion of (3x-4y)^11 will correspond to line 11.
Using the general formula for the Pascal triangle:
The solution to the expansion of the binomial (3x-4y)^11 can be computed as:
Learn more about Pascal's triangle here:
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The answer is x=6, have a good day!
Answer:
0.771, 0.772, 0.773
Step-by-step explanation:
three numbers between 0.77 and 0.78
0.77 = 0.770
and
0.78 = 0.780
So,
0.770, 0.771, 0.772, 0.773, 0.780
= 0.77, 0.771, 0.772, 0.773, 0.78
Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
