Fractorise `4a ^(2) + b ^(2) + c ^(2) -4ab + 2bc-4ca` using suitable identity.

Find the product (a-b-c) (a ^(2) + b ^(2) + c ^(2) - ab + bc-ca) without actual multiplication.

Factorise : 9a^2 + 4b^2+ 16c^2+12ab16bc -24ca .

sqrt(4ab - 2i (a^(2) - b^(2) ) =

Find the product (2a + b+c) (4a ^(2) + b ^(2) + c ^(2) - 2ab -bc -2ca)

Expand (4x - 2y-3z) ^(2) using identity

If a^(2)+b^(2)+c^(2)=2 then the range of ab+bc+ca is

If a^(2)+b^(2)+c^(2)=1 then the range of ab+bc+ca is

Factories (i) 25 x ^(2) + 16 y ^(2) + 4z ^(2) - 40 xy + 16 yz - 20zx (ii) 9a ^(2) + 4b ^(2) + 16 c ^(2) + 12 ab - 16 bc - 24 ca

If a^(2)+b^(2)+c^(2)=1 , then the range of ab+bc+ca is