Seudónimo Seudónimo
  • 12-06-2018
  • Mathematics
contestada

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

Respuesta :

CastleRook
CastleRook CastleRook
  • 21-06-2018
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) 

Answer: 1/(x+3) 

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