Simplify the following:
(pi/7-pi+3/5) (pi/7-pi+3/5)
Put each term in pi/7-pi+3/5 over the common denominator 35: pi/7-pi+3/5 = (5 pi)/35-(35 pi)/35+21/35:
(pi/7-pi+3/5) (5 pi)/35-(35 pi)/35+21/35
(5 pi)/35-(35 pi)/35+21/35 = (5 pi-35 pi+21)/35:
(pi/7-pi+3/5) (5 pi-35 pi+21)/35
Add like terms. 5 pi-35 pi+21 = 21-30 pi:
(pi/7-pi+3/5) (21-30 pi)/35
Factor 3 out of 21-30 pi:
((pi/7-pi+3/5)×3 (7-10 pi))/(35)
Put each term in pi/7-pi+3/5 over the common denominator 35: pi/7-pi+3/5 = (5 pi)/35-(35 pi)/35+21/35:
(3 (7-10 pi))/35 (5 pi)/35-(35 pi)/35+21/35
(5 pi)/35-(35 pi)/35+21/35 = (5 pi-35 pi+21)/35:
(3 (7-10 pi))/35 (5 pi-35 pi+21)/35
Add like terms. 5 pi-35 pi+21 = 21-30 pi:
(3 (7-10 pi))/35 (21-30 pi)/35
Factor 3 out of 21-30 pi:
(3 (7-10 pi) 3 (7-10 pi))/(35×35)
(3 (7-10 pi)×3 (7-10 pi))/(35×35) = (3×3 (7-10 pi)^2)/(35×35):
(3×3 (7-10 pi)^2)/(35×35)
35×35 = 1225:
(3×3 (7-10 pi)^2)/1225
3×3 = 9:
Answer: | (9(7-10 pi)^2)/1225