Question

(X+y)^2-4xy factorise it.
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Answer 1

Answer:

$= > {(x + y)}^{2} - 4xy \\ \\ = > {x}^{2} + 2xy + {y}^{2} - 4xy \\ \\ = > {x}^{2} - 2xy + {y}^{2} \\ \\ = > {x}^{2} - xy - xy + {y}^{2} \\ \\ = > x(x - y) - y(x - y) \\ \\ = > (x - y)(x - y) \\ \\ = > {(x - y)}^{2}$

Answer 2

❏ Question :-

Factories it .

$</p><p> ↪ \sf {(x + y)}^{2} - 4xy</p><p>$

❏ Answer :-

$\implies \sf (x - y)(x - y) \: or \: {(x - y)}^{2}$

✦Solution :-

We have

$\to \sf \: {(x + y)}^{2} - 4xy \\ \\ \because \sf (a + b)^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ \therefore \: \\ \\ \to \sf {x}^{2} + {y}^{2} + 2xy - 4xy \\ \\ \to \sf {x}^{2} - xy \: - xy + {y}^{2} \\ \\ \to \sf x(x - y) - y(x - y) \\ \\ \to \sf \: (x - y)(x - y) \\ \\ \to \sf {(x - y)}^{2}$