What is the product of (x/4-1/3)*(x/4+1/3)(x413)(x4+13)?

1 Answer
Nov 24, 2016

(9x^2 - 16)/1449x216144

Explanation:

First, get all of the fractions over a common denominator by multiplying by the appropriate form of 11:

((3/3)(x/4) - (4/4)(1/3)) * ((3/3)(x/4) + (4/4)(1/3)) =>((33)(x4)(44)(13))((33)(x4)+(44)(13))

((3x)/12 - 4/12) * ((3x)/12 + 4/12) =>(3x12412)(3x12+412)

(3x - 4)/12 * (3x + 4)/123x4123x+412

Now we can cross multiply the numerators and multiply the denominators:

(9x^2 - 12x + 12x - 16)144 =>(9x212x+12x16)144

(9x^2 - 16)/1449x216144