SOLUTION: Factor the expression completely. Make sure to show/explain your work for full credit. 14y^2 - 8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the expression completely. Make sure to show/explain your work for full credit. 14y^2 - 8      Log On


   

Question 952798: Factor the expression completely. Make sure to show/explain your work for full credit.

14y^2 - 8
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

14y%5E2+-8....first both terms multiply and divide by 7

%287%2A14y%5E2%29%2F7+-%287%2A8%29%2F7
%2898y%5E2%29%2F7+-56%2F7....factor out 1%2F7

%281%2F7%29%2898y%5E2+-2%2A4%2A7%29....write 56 as 2%2A4%2A7, then 7 as sqrt%287%29%5E2

%281%2F7%29%282%2A49y%5E2+-2%2A4%2Asqrt%287%29%5E2%29....factor out 2

%281%2F7%29%282%2849y%5E2+-4%2Asqrt%287%29%5E2%29%29....write 4%2Asqrt%287%29%5E2 as %282%2Asqrt%287%29%29%5E2

%282%2F7%29%28%287y%29%5E2+-%282sqrt%287%29%29%5E2%29....factor the difference of the squares

%282%2F7%29%28%287y+-2sqrt%287%29%29%287y+%2B2sqrt%287%29%29%29