Asked by tt
Perform the indicated operations, then simplify.
7x2/x2-49-7x/x+7+7/x-7
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the expression as 7x^2/(x^2-49) - 7x/(x+7) + 7/(x-7):
Common denominator (x-7)(x+7) gives numerator
7x^2 - 7x(x-7) + 7(x+7) = 56x + 49 = 7(8x+7).
So the simplified form is
(56x + 49)/(x^2 - 49) = 7(8x + 7)/(x^2 - 49),
with x ≠ 7, -7.
Common denominator (x-7)(x+7) gives numerator
7x^2 - 7x(x-7) + 7(x+7) = 56x + 49 = 7(8x+7).
So the simplified form is
(56x + 49)/(x^2 - 49) = 7(8x + 7)/(x^2 - 49),
with x ≠ 7, -7.
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