Simplify. x+7/x^2+4x-21 a. 1/7+x ; where x= -7 b. 1/7x ; where x= 0 c. 1/7+x ; where x= 0, -7 d. 1/7

To silpify the expression we proceed as follows:
(x+7)/(x^2+4x-21)
Factorizing the given the denominator:
x^2+4x-21
x^2-3x+7x-21
=x(x-3)+7(x-3)
=(x-3)(x+7)
thus plugging back in our expression we have:
(x+7)/[(x-3)(x+7)]
simplifying this we obtain:
1/(x+3) 

1/(x+3) 

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The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.