How do you factor 25x^3 - 15x^2 |||| Would the answer be just 5x-3?

Question

skullpatrol · Answer

To factor $$\Huge25x^3 - 15x^2 $$ you first look for the greatest common factor (GCF) of the coefficients 
which is the greatest integer that is a factor of both of them
 i.e. the product of the smaller powers of each common prime factor.$$25 = 5*5$$ $$15 = 3*5$$which in this case is 5.
Next you find the greatest common factor of the two monomials
which is the common factor with the greatest coefficient, 5 in this case, 
and greatest degree in each variable, in this case. $$x^2$$  This gives the factored form:  $$\Huge 5x^2(5x-3)$$   Be sure to check your work by using the distributive property:
$$\Huge \underbrace{a(b-c)}=ab-ac$$ factored form