Algebraic Identities

Which Geometrical figure related to Algebraic Identity (x-y) ^2=x^2+y^2-2xy ?

To verify the algebraic identity [a+b]^(2)=a^(2)+2ab+b^(2)

Using algebraic identity, find the coefficient of x^(2) , x and constant term without actual expansion. (x+5) ( x+ 6) (x+ 7)

Using algebraic identity, find the coefficient of x^(2) , x and constant term without actual expansion. ( 2x+ 3) ( 2x-5) ( 2x- 6)

Using algebra identity , find the coefficients of x^(2) ,x and constant term without actual expansion. (i) (x+5)(x+6)(x+7) (ii) (2x+ 3 )( 2x-5) (2x-6)

Let's factorize the following algebraic expression with the help of the identity x^3 + 125