Question

Factorise 6-y^2

Please help

Answer 1

6-y^2 can be factored by using the difference of squares formula which states that:

a^2 - b^2 = (a+b)(a-b)

We can factorize 6-y^2 by using the following:

6 - y^2 = (sqrt(6) + sqrt(-y^2))(sqrt(6) - sqrt(-y^2))

= (sqrt(6) + yi)(sqrt(6) - yi)

where i is the imaginary unit.

So, 6-y^2 = (sqrt(6) + yi)(sqrt(6) - yi) is the factored form of 6-y^2

Please note that the factorization is only true for real values of y, when y is not real the expression can't be factorized.