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Factoring

by Alisha
(Arizona)










































Simplify the following expression:

  1    2
  - + -
  4    a
_______
    3
    -
    4a

take the reciprocal of the fraction in the denominator, and then multiply the numerator by that (reciprocal) fraction

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Jan 13, 2012
Factoring
by: Staff

Question:

by Alisha
(Arizona)

1       2
--  +  ---
4       a
______
    3
   ----
   4a



Answer:

Factor the following expression:

(1/4) + (2/a)
----------------
   [3/(4a)]

= [(1/4) + (2/a)] / [3/(4a)]


To simply this expression, begin by reversing the fraction in the denominator, and then multiplying the numerator by this (reversed) fraction

= [(1/4) + (2/a)]* [(4a)/3]


Use the distributive law to expand the expression

= (1/4)*[(4a)/3] + (2/a)*[(4a)/3]

= (4/4)*( a/3) + [(2*4)/3]*(a/a)

= (1)*( a/3) + [(2*4)/3]*(1)


Combine the two fractions

= ( a/3) + (8/3)

= ( a + 8)/3




The final answer is: (a + 8)/3



Thanks for writing.
Staff

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