Question

Factor the expression completely.18ײ-8

Answer 1

Given the expression:

`18x^2-8`

notice that both coefficients are even, then they are divisible by 2. Factoring the 2 we get:

`18x^2-8=2(9x^2-4)`

Now, the factor 9x^2-4 is clearly a binomial conjugate, therefore, the final factorization is:

`2(9x^2-4)=2(3x+2)(3x-2)`