Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x-6 and the width is represented by 3x-5, then the paper has a total area represented by what?

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Answer 1 · 2016-06-03T11:24:24

#a=6x^2-28x+30#

Let area be #a#

Area is length multiplied by width so we have:

#a=color(blue)((2x-6))color(brown)((3x-5))#

Multiply everything inside #(3x-5)# by everything inside #(2x-6)#

#color(brown)(a=color(blue)(2x)(3x-5)color(blue)(-6)(3x-5))#

#a=6x^2-10x" "-18x+30#

#a=6x^2-28x+30#