Final answer:
To factorise the expression 24x^2-12x fully, the greatest common factor, which is 12x, is factored out, giving the final factorised form of 12x(2x - 1).
Step-by-step explanation:
The question asks to factorise fully the expression 24x2-12x. To factor this expression, we look for the greatest common factor (GCF) between the terms. Both terms have a factor of 12x in common, so we can factor out 12x from each term.
Here is the factoring step by step:
- Identify the GCF of 24x2 and 12x, which is 12x.
- Divide each term by 12x: 24x2 / 12x = 2x and 12x / 12x = 1.
- Write the original expression as a product of the GCF and the remaining terms: 24x2 - 12x = 12x(2x - 1).
The fully factorised form of 24x2 - 12x is 12x(2x - 1).