Answer:
The complete factored form of the equation 5x(x-9)-7(x-9) is (5x-7)(x-9). neither option of the list satisfies this factored form.
Explanation:
Remember that factorize is the inverse procedure of applying the distribution of the product respect to the sum:
a.b +a.c = a(b+c)
In the equation, the factorized form represents the right member.
So, when factorizing an expanded equation it has to find the common (a) factor of each term (a.b and a.c). In this case, we have the factor x+9 multiplying in both terms, so this would be our common term a. This lets factors 5x and -7, being factors b and c respectively, with we will construct the factored form:
(x+9)(5x-7)