multiplying in polynomials

Question

(2y to the second power- 7) ( 2y to the second power +7)

Answer 1

Using FOIL Method is helpful here:

 

(2y²-7)(2y²+7)

= (2y²)(2y²) + (2y²)(+7) + (-7)(2y²) + (-7)(+7)  Use FOIL method

= (4y⁴)         + (14y²)      + (-14y²)    + (-49)   Simplify

= 4y⁴            + 14 y²         - 14 y²       -  47   Eliminate

= 4y⁴   -  49

Answer 2

(2y²-7)(2y²+7)

use the FOIL method

4y⁴-14y²+14y²-49

4y⁴-49