Question

which polynomial is not a sum and difference of two cubes?

A. 3³-z³
B. 8y³+z³
C.x³-y³
D. 2x³+y³​

Answer 1

Answer:

IDENTITY OF A SQUARE OF A TRINOMIAL - FORMULA

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca

Example:

(x+y+3)2

=x2+y2+9+2xy+6y+6x

IDENTITIES ON CUBES OF BINOMIAL AND POLYNOMIALS - DEFINITION

Cube of Bionomial:

(a+b)3=a3+b3+3a2b+3ab2

(a−b)3=a3−b3−3a2b+3ab2

Example:

(x+3)3

=x3+27+9x2+27x

PROBLEMS ON CUBIC IDENTITY A^3+B^3 - EXAMPLE

Factorise: 27x3+1

Here, 1 can be regarded as having been raised to any power we like, so (3x)3+13

 27x3+1=(3x)3+13

  =(3x+1)((3x

Answer 2

Answer:

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