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LenaWriter [7]
2 years ago
11

Simplify using the distributive property. 5 Marks 1/5(4m+20) 9(5/9 y-1/3)

Mathematics
1 answer:
Zarrin [17]2 years ago
4 0

Answer+Step-by-step explanation:

\frac{1}{5} \left( 4m+20\right)  =\frac{4}{5}m + \frac{20}{5} = \frac{4}{5}m + 4

9\left( \frac{5}{4} y-\frac{1}{3} \right)  =\frac{9\times5}{9} y-\frac{9}{3} = 5y - 3

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The coefficient of the second term in the expansion of the binomial (4x+3y) to the 3rd power
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You can solve this easily by using Pascal's Triangle (look that up if need be).

Here are the first four rows of P. Triangle:

                 1
           1           1
     1          2          1
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 example:  expand (a+b)^3.
 
 Look at the 4th row.  Borrow and use those coefficients:
 
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Now expand (4x+3y)^3:

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Look at the 2nd term (above):

              3(4x)^2(3y)   can be re-written as 144x^2y.
 
The coeff of the 2nd term is 144.  Note that (4)^2 = 16    
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Step-by-step explanation:

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