Question

Length is 2x-6 and width is 3x-5 of a paper What polynomial represents the total area?

Answer 1

`color(blue)(6x^2-28x+30)`

Explanation:

Area = length x width:

`"Area" = (2x-6)*(3x-5)`

Expanding brackets:

`(2x-6)(3x-5)=(2x)(3x)+(2x)(-5)+(-6)(3x)+(-6)(-5)`

`=6x^2-10x-18x+30=color(blue)(6x^2-28x+30)`