(2a-3b-c)^(2)

.Factorise: (2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)

Simplify : (Use formulae) (2a-3b+4c)^2-(2a+3b-4c)^2

Expand (2a-3b+4c) ^2

Fractorise: (2a+3b)^(2)-16c ^(2)

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabolas y^(2)=4ax and x^(2)=4ay, then: d^(2)+(2b+3c)^(2)=0 (b) d^(2)+(3b+2c)^(2)=0d^(2)+(2b-3c)^(2)=0 (d) d^(2)+(3b-2c)^(2)=0

Prove that a^3-(2a-b-c)^3+(b-2c)^3-(2b-c-a)^3=3(b+c-a)(a+b-2c)(2a-2b-c)

Expand (4a-2b-3c)^(2) .

omega is an imaginary root of unity.Prove that (a+b omega+c omega^(2))^(3)+(a+b omega^(2)+c omega)^(3)=(2a-b-c)(2b-a-c)(2c-a-b)

factorize : 108a^2-3(b-c)^2