Question 62

Find $$(x + y)^2 - (x - y)^2$$ ?

Solution

$$(x + y)^2$$

=$$x^2+2xy+y^2$$.

and $$(x-y)^2$$

=$$x^2-2xy+y^2$$.

so,

$$(x+y)^2-(x-y)^2$$

$$=(x^2+2xy+y^2)-(x^2-2xy+y^2)$$

$$=x^2+2xy+y^2-x^2+2xy-y^2$$

$$=4xy.$$

B is correct choice.


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