The new polynomial identity is 2(x² + 2xy + y²)
Given,
The polynomial identities
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
We have to square an identity from column A and add it with any one identity from column B.
So,
Lets take (x + y)
(x + y)² = x² + 2xy + y²
We can add this identity with x² + 2xy + y² in column B.
That is,
x² + 2xy + y² + x² + 2xy + y²
= 2x² + 4xy +2 y²
= 2(x² + 2xy + y²)
That is,
The new polynomial identity is 2(x² + 2xy + y²)
Learn more about polynomial identity here;
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