To expand the given expression, we can use the formula for the product of two binomials:
(a - b)(a + b) = a^2 - b^2
In this case, let's let a = 1/3y and b = 1/4x. Then we have:
(1/3y - 1/4x)(1/3y + 1/4x) = (1/3y)^2 - (1/4x)^2
= 1/9y^2 - 1/16x^2
= (16y^2 - 9x^2) / (144)
Therefore, the expanded expression is (16y^2 - 9x^2) / 144.
To expand the given expression, we can use the formula for the product of two binomials:
(a - b)(a + b) = a^2 - b^2
In this case, let's let a = 1/3y and b = 1/4x. Then we have:
(1/3y - 1/4x)(1/3y + 1/4x) = (1/3y)^2 - (1/4x)^2
= 1/9y^2 - 1/16x^2
= (16y^2 - 9x^2) / (144)
Therefore, the expanded expression is (16y^2 - 9x^2) / 144.