Factor completely 25x-144

(5√x + 12) (5√x - 12)

Step-by-step explanation:

As 25 and 144 are both square numbers and the expression uses a negative sign, we can use the difference of two squares to factorise 25x - 144.

The formula for the difference of two squares is:

a^2 - b^2 = (a + b) (a - b)

We can apply this rule to factorise 25x - 144.

= 25x - 144

= (5√x) ^2 - (12) ^2

= (5√x + 12) (5√x - 12)