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The problem

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Hi, can you please more in detail how to apply the distributive property in this problem? I don’t understand how and when to apply the property?

x-4/

3x(x-1)

1/

4x

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

A(B+ C) = AB + AC.

In our example, the resulting expression will consist of 2 terms:

the first term is a product of 4 and

X. the second term is a product of 4

and -4.

4x -4•4 = 3x- 3

4x - 16 = 3х - 3

Answer provided by our tutors

Distributive property says "A*(B + C) = A*B + A*C".

This propety is applied when multiplying:

4*(x - 1)

So, A = 4, B = x and C = -1, if we replace the values we get:

4*(x - 1) = 4*x - 4*1 = 4x - 1

Next, the operations in the denominator and numerator are perfromed and then we want to get rid of the fraction. 

We can do that by cross-multiplying

 

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