Question

Square one factor from column A and add it to one factor from column B to develop your own polynomial identity.

Column A Column B
(x + y) (x2 + 2xy + y2)
(x − y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)

Answer 1

To develop a polynomial identity, square one factor from column A and add it to one factor from column B.

Step-by-step explanation:

To develop a polynomial identity, we need to square one factor from column A and add it to one factor from column B.

Let's take the first option: (x + y) (x² + 2xy + y²)

Squaring the first factor, we get (x + y)² = x² + 2xy + y²

Adding it to the second factor, we have x² + 2xy + y² + (x2 + 2xy + y2)

Combining like terms, we get 2x² + 4xy + 2y²

Therefore, the polynomial identity is 2x² + 4xy + 2y².