`a^(3) x^(3) + 3a^(2) bx^(2) + 3ab^(2)x + b^(3)` का गुणनखंडन कीजिये।

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

Factorise : (ii) 3a^(2) x - bx + 3a^(2) - b

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

a^(3)+3a^(2)b+3ab^(2)+b^(3) divided by a^(2)+2ab+b^(2) is

Factorise a^3x^3-3a^2bx^2+3ab^2x-b^3

Factorize: a^3x^3-3a^2b x^2+3a b^2x-b^3

Add: (i) 3a - 2b + 5c, 2a + 5b - 7c, -a - b + c (ii) 8a - 6ab + 5b, -6a - ab - 8b, -4a + 2ab + 3b (iii) 2x^(3) - 3x^(2) + 7x - 8, -5x^(3) + 2x^(2) - 4x + 1, 3 - 6x + 5x^(2) - x^(3) (iv) 2x^(2) - 8xy + 7y^(2) - 8xy^(2), 2xy^(2) + 6xy - y^(2) + 3x^(2), 4y^(2) - xy - x^(2) + xy^(2) (v) x^(3) + y^(3) - z^(3) + 3xyz, - x^(3) + y^(3) + z^(3) - 6xyz, - x^(3) - y^(3) - z^(3) - 8xyz (vi) 2 + x - x^(2) + 6x^(3). -6 - 2x + 4x^(2) - 3x^(3). 2 + x^(2). 3 - x^(3) + 4x - 2x^(2)

If x = a^(1/3) b^(-1/3) + a^(-1/3) b^(1/3) then prove that a(bx^(3) - 3bx -a) = b^(2)

8a ^ (2) -27ab + 9b ^ (2), 3x ^ (3) -x ^ (2) -10x