q: do you think you can apply the same concept in simplifying a rational algebraic expression?
yes, through applying the concept of factoring and greatest common factor or gcf can be used in order to simplify a rational algebraic expression.
the value of the numerator is 10x + 25y. 10 and 25 has a factor of 5, hence, it can be written in such a way that it is factored by 5.
10x + 25y = 5 (2x + 5y)
when we multiple 2x + 5y by 5, we will arrive to the same given.
after factoring the numerator, we will look in the denominator to see if the common factor in the numerator be possible to divide or cancel. in this case:
5 can be cancelled from both numerator and denominator as long as there is no subtraction or addition involved with 5. hence, we will arrive to the following solution:
= 2x + 5y
for more information about fractions, kindly refer to the following link/s: