Answer:
( 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 )
