Question

How do you expand and simplify (2x - 3)(3x + 5)?

Answer 1

See a solution process below:

Explanation:

To expand and simplify this you expression you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(2x) - color(red)(3))(color(blue)(3x) + color(blue)(5))` becomes:

`(color(red)(2x) xx color(blue)(3x)) + (color(red)(2x) xx color(blue)(5)) - (color(red)(3) xx color(blue)(3x)) - (color(red)(3) xx color(blue)(5))`

`6x^2 + 10x - 9x - 15`

We can now combine like terms:

`6x^2 + (10 - 9)x - 15`

`6x^2 + 1x - 15`

`6x^2 + x - 15`