Question

How do you divide `\frac { x ^ { 2} - 36y ^ { 2} } { x ^ { 2} + 7x y + 6y ^ { 2} } \div \frac { x ^ { 2} - 12x y + 36y ^ { 2} } { x + y }`?

Answer 1

The answer is `1/(x - 6y)`

Explanation:

Start by turning it into a multiplication.

`(x^2 - 36y^2)/(x^2 +7xy + 6y^2) * (x + y)/(x^2 - 12xy + 36y^2)`

`((x + 6y)(x - 6y))/((x + 6y)(x + y)) * (x + y)/((x - 6y)(x - 6y))`

Now just eliminate:

`1/(x- 6y)`

Hopefully this helps!