You have been hired as an efficiency expert for math nerds inc. the company wants to cut costs and increase profits by increasing the number of math problems their employees can solve in a day. your job is to the math nerds employees solve math problems more quickly. show the math nerds employees how to rework each problem below using a polynomial identity. (x2+y2)2=(x2-y2)2+(2xy)2
show the math nerds employees how much time you save on each problem by using the polynomial identity to simplify.
1) ( x+2 ) 2 (x+2) 2 = (x+y) 2 =x 2 +2xy+ y 2
2) ( x−3 ) 3 (x−3) 3 = (x−y) 3 =x 3 −3 x 2 y+3x y 2 − y 3