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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Answer: the answer is infinite solutions
Step-by-step explanation:Systems of Equations Level 1:
Question 1
Two linear equations are given below.
Exactly how many solutions does this system of equations have?
Select one:
Answer:
The equivalent ratios are:
16:10
8:5
48:30
Step-by-step explanation:
It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.
given ratio is:
16:10
which simplifies to
8:5
We can observe that the second ratio will be same 8:5
Now,
Hence,
The equivalent ratios are:
16:10
8:5
48:30
Even though it has not happened yet again
