What is the value of ^2 165^ + ^2 165^ ?

Step-by-step solution

Concept: - (180^ - )=- - (180^ - )=- - 15^ =2- 3 - 15^ =2+ 3 Formula used: aligned & (a+b)^2=a^2+b^2+2 a b & (a-b)^2=a^2+b^2-2 a b aligned Calculation: aligned & Given, ^2 165^ + ^2 165^ & ( (180-15)^ )^2+ ( (180-15)^ )^2 & (- ^2 15^ )+ (- ^2 15^ ) & ^2 15^ + ^2 15^ & (2- 3 )^2+(2+ 3 )^2 & (4+3-4 3 )+(4+3+4 3 ) & ^2 165^ + ^2 165^ =14 aligned