Question

How do you simplify the product `(2r + 1)(3r - 1)` and write it in standard form?

Answer 1

`6r^2 + r - 1`

Explanation:

By multiplying out brackets ( distributive law ) and collecting like terms :

`(2r + 1 )(3r + 1 ) = 2r(3r - 1 ) + 1(3r - 1 )`

`= 6r^2 - 2r + 3r - 1 = 6r^2 + r - 1`