The expression is .
Distribute terms using distributive property: a(b + c) = ab + ac.
\ (Multiply:
)
Distribute terms using distributive property: .
(Cancel common terms)
(Product of two same signs is positive)
Apply commutative property of addition: a + b = b + a.
\To add fractions the denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 1: 1,2,3,4,5,6,7.............
\Multiples of 2: 2,4,4,6,8,10,12............
\Multiples of 4: 4, 8, 12, 16, 20............
\The least common multiple of 1, 2 and 4 is 4.
\Rewrite each fraction with a common denominator of 4.
\Rewrite fractions using the LCD 4.
\ (Lcm is 4)
(Subtract:
)
(Add: 4n + 2n = 6n)
The simplified expression of .