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Instructions

Answer the questions based on the following information. A, S, M and D are functions of x and y, and they are defined as follows.

$$A(x, y)=x + y$$

$$S(x, y)=x-y$$

$$M(x, y)=xy$$

$$D(x,y)=\frac{x}{y}$$. $$y\neq0$$

Question 15

What is the value of $$M(M(A(M(x, y),S(y, x)),x),A(y, x))$$for $$x=2, y=3$$?

Solution

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Given expression can be reduced to 

M ( x(xy+y-x) , (y+x) ) 

Or x(x+y)(xy+y-x)

After putting value of x and y , expression will reduce to a value =  70.

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