Question

XXIV. Get the right pair of algebraic identities. B (1) (x + y)(x ^ 2 + y ^ 2 - xy) (2) (x + y)(x - y) (3) (x ^ 2 + y ^ 2 - 2xy) (A) (B) (x - y) ^ 2; x ^ 2 - y ^ 2 1​

Answer 1

Answer:

(x

2

−y

2

+2xy+1)−(x

2

−y

2

+4xy−5)

=x

2

−y

2

+2xy+1−x

2

+y

2

−4xy+5

=−2xy+6

∴ (x

2

−y

2

+2xy+1)−(x

2

−y

2

+4xy−5)=−2xy+6

Answer 2

Answer:

Given, (2x−y)

2

We know, (a−b)

2

=a

2

−2ab+b

2

.

Then,

(2x−y)

2

=(2x)

2

+y

2

−2×2x×y

=4x

2

+y

2

−4xy.