# 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

### Comments for Factoring

 Jan 13, 2012 Factoring by: Staff Question:by Alisha (Arizona)1       2--  +  ---4       a______    3   ----   4aAnswer: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)/3The final answer is: (a + 8)/3 Thanks for writing.Staff www.solving-math-problems.com

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