Question

COMBINATION IDENTITIES :–
1) 1 ‐ x² + 2xy - y²​

Answer 1

1. (x+y)^2 = x^2+2xy+y^2

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Answer 2

Answer:

answer is:(1+x-y)(1-x+y)

Step-by-step explanation:

1 -x² + 2xy - y²

1st using identity (a+b)² = a² +2ab +b²

= 1- (x²+2xy-y²)

= 1- [(x)²-2xy+(y²)]

= 1- (x-y)²

now, 2nd using identity a²-b²=(a+b)(a-b)

= 1² -(x-y)²

= (1+x-y)(1-(x-y))

= (1+x-y)(1-x+y)