Question

What is the standard form of `y= (3x-1)(7x-2)(x+1)`?

Answer 1

`21x^3+20x^2+x+2`

Explanation:

Given: `y=(3x-1)(7x-2)(x+1)`
First, solve `(3x-1)` and `(7x-1)` by expanding them.
`(3x-1)(7x-2)`
`=21x^2-6x-7x+2`
`=21x^2-x+2`
Now,solve `(21x^2-x+2)` and `(x+1)` by expanding them.
`(21x^2-x+2)(x+1)`
`=21x^3+21x^2-x^2-x+2x+2`
`=21x^3+20x^2+x+2`