Question

(x-y)^2-(x+y)^2by using factorize​

Answer 1

Answer:

(x-y)²-(x+y)² = -4xy

Step-by-step explanation:

(x-y)²-(x+y)²

=[(x-y)+(x+y)][(x-y)-(x+y)]

/* By algebraic identity:

a²-b² = (a+b)(a-b) */

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

= 2x(-2y)

= -4xy

Therefore,

(x-y)²-(x+y)² = -4xy

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Answer 2

$\huge\sf{Answer:-}$

$= (x - y) {}^{2} - (x + y) {}^{2} \\ = (x - y) + (x + y)(x + y)$

By using identity

$a {}^{2} - b {}^{2} = (a + b)a - b$

$= (x - y + x + y)(x - y - x - y) \\ = 2x( - 2y) \\ = - 4y$

So, Hence (x - y)² - (x + y)² = -4 xy