# Multiply.Use the distributive property. A) 3(x-2y) B)-(x-3y) C)5x(x+2y+z)

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The distributive property states that:

`a(b+c)=a*b+ a*c`

Applying this to the above problems result to:

(A.) `3(x-2y) = 3*x -2y*3= 3x - 6y`

**Hence, `3(x-2y)= 3x - 6y` .**

(B) `-(x - 3y)`

A negative outside the parenthesis is the same as multiplying the expression inside the parenthesis with -1.

`=-1(x-3y) = -1*x -3y*(-1)= -x+3y=3y-x`

**Hence, `-(x-3y)=3y-x` .**

(C) `5x(x+2y+z)=5x*x+5x*2y+5x*z=5x^2+10xy+5xz`

**Hence, `5x(x+2y+z)=5x^2+10xy+5xz`.**