Which of the following is equivalent to (2x+4) / (2x^2+8x+8) for all values of x for which both expressions are defined?

Asked by Gurmeet Chadda 8 months ago

1 Answer

Factorize the denominator
2x^2 + 8x + 8
= 2(x^2 + 4x + 4)
= 2(x + 2)^2

Simplify the fraction
(2x + 4) / (2(x + 2)^2)
= 2(x + 2) / 2(x + 2)(x + 2)
= 1 / (x + 2)

Conclusion
The equivalent expression is 1 / (x + 2)


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