Question

Factorise x^2-y^2/100

Answer 1

The equation is the following

`x^2- (y^2)/(100)`

This is a difference of two squares, the first one being the square of
`x`, the second one being the square of
`(y)/(10)`. The difference of two squares can be factorized as

`A^2 - B^2 = (A+B)(A-B)`

If we apply this rule to our equation, we find

`x^2- (y^2)/(100)=(x+ (y)/(10))(x- (y)/(10))`