Question

What is the standard form of `y= (1/5x^2-1/12)(1/3x+3/8)`?

Answer 1

`y=1/15x^3+3/40x^2-1/36x-3/96`

Explanation:

Given:`color(brown)(y=color(blue)((1/5x^2-1/12)) (1/3x+3/8)`

`color(brown)(y=color(blue)(1/5x^2) (1/3x+3/8)+color(blue)((-1/12))(1/3x+3/8))`

`y=(1/15x^3 +3/40 x^2)+(-1/36x-3/96)`

`y=1/15x^3+3/40x^2-1/36x-3/96`