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Simplifying Algebraic Fractions

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Simplify

(x^2-5x-6)/(x-1)
asked Jun 18, 2014 in ALGEBRA 1 by anonymous

1 Answer

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The expression is image

  • Now factorise the numrator of the above fraction.

x2 - 5x  - 6

Multiply first term x2 and last term -6 = -6x2

The correct pair of the terms -6x and x multiply to -6x2 and add to -5x.

Replace the middle term -5x with - 6x + x.

= x2 - 6x + x - 6

Group the terms into two pairs.

= (x2 - 6x) + (x - 6)

Factor out x from the first group  and factor out 1 from the second group.

= x(x - 6) + 1(x - 6)

Factor out common term x - 6.

= (x - 6)(x + 1)

image image

Subsstitute the numarator value in the fraction.

image image

answered Jun 18, 2014 by david Expert

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