Cube of a binomial : `(a-b)^3 = a^3 - 3a^2b+3ab^2-b^3`

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Cube of a binomial: (a+b)^(3)=a^(3)+3a^(2)b+3ab^(2)+b^(3)

Find the values of the following polynomials at a = -2 and b = 3 : a^3 - 3a^2b + 3ab^2 - b^3

Find the values of the following polynomials at a = -2 and b = 3 : a^3 + 3a^2b + 3ab^2 + b^3

Verify the (a+b ) (a+b) (a +b) = a ^(3) + 3a ^(2) b + 3a^(2) b + 3a b ^(2) +b ^(3)

Factorize: a^(3)-3a^(2)b+3ab^(2)-b^(3)+8

What must be sutracted from a ^(3) - 3a ^(2) b + 3 ab ^(2) - b ^(3) get a ^(3) - b ^(3) ?

Factorise : a^(3) - ab^(2) + a^(2)b - b^(3)

Find the value of the following expressions at a=1 b = -2 : (i) a^2+b^2+3ab (ii) a^3+a^2b+ab^2+b^3

a^3 - b^3 - 3a^2b+ 3ab^2, by, a^2 + b^2 - 2ab