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:
45
Step-by-step explanation:
plug in 3 where the xs are
2(3)(6(3)-5(3))+(3)^2(5(3)-4(3)=45
2(3)=6
6(3)=18
-5(3)=15
(3)^2=9
5(3)=15
-4(3)=-12
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Subtract sides 2x


Divide sides by 3


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CHECK :




So the value is correct.
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Answer:
1. PQ
2. PR
3. OR/OP
4. OR/OP
5. RO
Step-by-step explanation:
Answer:
Step-by-step explanation:
It says Renita takes minutes to ride half a mile.
She leaves 30 minutes before school.
Total distance is

In

Therefore total time to reach school will be 5 x 5 = 25minutes.
Since she leaves 30minutes before school. She will reach 5minutes early before school.