What is the quotient in the simplest form? State any restrictions on the variable. x+2/x-1 divided by x+4/x^2+4x-5

Question

Mathematics

Iyana Delgado

14 March, 21:45

What is the quotient in the simplest form? State any restrictions on the variable. x+2/x-1 divided by x+4/x^2+4x-5

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Alessandra Ali · Answer 1

X² + 4 x - 5 = x² + 5 x - x - 5 = x (x + 5) - (x + 5) = (x + 5) (x - 1)

(x + 2) / (x - 1) : (x + 4) / (x + 5) (x - 1) =

= (x + 2) / (x - 1) * (x + 5) (x - 1) / (x + 4) =

= (x + 2) (x + 5) / (x + 4)