Question

12x +15x² - 18x³
Factorise the expression ​

Answer 1

-3x(2x+1)(3x-4)

Explanation:

Add and subtract the second term to the expression and factor by grouping.

Answer 2

Anser and Explanation:

First, factor out an x to get:

`x(-18x^2 + 15x + 12)`

Then, factor out a -3:

`-3x(6x^2 - 5x - 4)`

Finally, factor by grouping:

`-3x(6x^2 + 3x - 8x - 4)`

`-3x(3x(2x + 1) - 4(2x + 1))`

`-3x(3x - 4)(2x + 1)`

so -3x(3x - 4)(2x + 1) is the factored expression.