How do you factor 24x squared -18x
24x^2-18x
6x(4x-3)
To factor the expression 24x^2 - 18x, follow these steps:
Step 1: Find the greatest common factor (GCF) of the terms.
In this case, the GCF of 24x^2 and 18x is 6x.
Step 2: Divide each term by the GCF.
Dividing 24x^2 by 6x gives 4x,
and dividing -18x by 6x gives -3.
Step 3: Write the expression using the GCF and the results of the division.
Therefore, 24x^2 - 18x can be factored as 6x(4x - 3).
To verify the factoring, you can multiply 6x with (4x - 3) using the distributive property, which will yield the original expression 24x^2 - 18x.