How do you simplify # [(x^2 - 2x - 15) / [(x - 6)(x - 3)]] * [(x^2 - 6) / (x - 5)]#?
1 Answer
Jul 18, 2017
Factorise, multiply then simplify.
Explanation:
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Factorise all statements that can be factorised.
#x^2-2x-15 = (x+3)(x-5)#
#x^2-6 = (x+sqrt(6))(x-sqrt(6))# -
Then multiply the two brackets. Remember to multiply fractions multiply the numerators by each other and repeat with denominators.
#((x+3)(x-5)(x+sqrt(6))(x-sqrt(6)))/((x-6)(x-3)(x-5))# -
Simplify by removing like terms in the numerator and denominator.
#((x+3)(x+sqrt(6))(x-sqrt(6)))/((x-6)(x-3))#
I know it looks complicated but it is fully simplified, hope this has helped.
