SOLUTION: Factor: 2x^6 - 2x^4 - 12x^2

Algebra ->  Rational-functions -> SOLUTION: Factor: 2x^6 - 2x^4 - 12x^2       Log On


   

Question 555006: Factor: 2x^6 - 2x^4 - 12x^2
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E6+-+2x%5E4+-+12x%5E2=2x%5E2%28x%5E4-x%5E2-6%29=2x%5E2%28x%5E2-3%29%28x%5E2%2B2%29
We can use the formula %28a%5E2-b%5E2%29=%28a-b%29%28a%2Bb%29 for x%5E2-3=%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29
Then the answer 2x%5E2%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29%28x%5E2%2B2%29