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uysha [10]
3 years ago
6

Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5

Mathematics
1 answer:
lana [24]3 years ago
4 0
We want to expand (2x + y²)⁵.

From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.

n=0:                        1
n=1:                      1      1
n=2:                   1    2     1
n=3:                 1   3    3     1
n=4:               1   4   6    4     1
n=5:             1   5  10  10   5     1

Therefore the third term in the expansion is 
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Answer: 80x³y⁴

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Given parameters:

  This is a word problem. To solve problems, it is best to interpret sentence by sentence;

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      let the number  = y ;

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    equal    =

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      let the number be Z;

           2Z + 3

The complete expression is thus;       2(y + 6) = 2Z + 3

 

   

4 0
2 years ago
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