(2a-b+c)^(2)

Simplify: (a+b+c)^(2)+(a-b+c)^(2)+(a+b-c)^(2)

Expand the following and verify (i) (a+b+c)^(2) =(-a-b-c)^(2) (ii) (-a+b+c)^(2) =(a-b-c)^(2) (iii) (a-b-c)^(2) =(-a+b-c)^(2) (iv) (a+b-c)^(2) =(-a-b+c)^(2)

Simplify: (a^(2)-(b-c)^(2))/((a+c)^(2)-b^(2))+(b^(2)-(a-c)^(2))/((a+b)^(2)-c^(2))+(c^(2)-(a-b)^(2))/((b+c)^(2)-a^(2))

Verify that (a ^(2) - b ^(2)) (a ^(2) + b ^(2)) + (b ^(2) - c ^(2)) (b ^(2) + c ^(2)) + (c ^(2)-a ^(2)) + (c ^(2) + a ^(2)) = 0

Show that |((a+b)^(2),(a-b)^(2),ab),((b+c)^(2),(b-c)^(2),bc),((c+a)^(2),(c-a)^(2),ca)|

(cos ^(2) ((B-C)/( 2)) )/( (b+c)^(2))+( sin ^(2)((B-C)/( 2)) )/( (b-c)^(2))=

(cos^(2)((B-C)/(2)))/((b+c)^(2))+(sin^(2)((B-C)/(2)))/((b-c)^(2))=(1)/(a^(2))

(a^(2)-b^(2))c+(b^(2)-c^(2))a

Factorise : (a^2 - b^2) c + (b^2 - c^2) a

Simplify: (a+b+c)^2+\ (a-b+c)^2+\ (a+b-c)^2