Question

Simplify the expressions in each pair. (2 marks each) (Show your work)

(x^2-2x)/(x+1)x (x^2-1)/(x^2+x-6)

My work on simplifying the expressions

x(x-2)/x+1 x (x+1)(x-1)/(x+3)(x+2)

If I've gone wrong please help me understand where I went wrong and help me get the correct answer.
Sincerely, yours
Alex Hunter

Answer 1

(x0…5-2x)/(x 1)x (x0…5-1)/(x0…5 x-6)
= x(x-2)/x 1 x (x 1)(x-1)/(x 3)(x-2)
=X/1 x (x-1)/(x 3)
=x(x-1)/(x 3)

Well hope its helpful.

Answer 2

yours (x^2-2x)/(x+1)x (x^2-1)/(x^2+x-6)

My work on simplifying the expressions

x(x-2)/(x+1) * (x+1)(x-1)/[(x+3)(x-2)]

note your sign error in second denominator

(x+1) and (x-2) cancel

x(x-1) / (x+3)