Question 82

HCF of $$x^{2} - y^{2}$$ and $$x^{3} - y^{3}$$ is :

Solution

Simplifying the terms :

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

$$x^{3} - y^{3} = (x - y) (x^2 + y^2 + xy)$$

The only common term in both expression is x-y

$$\therefore$$ H.C.F. of $$x^{2} - y^{2}$$ and $$x^{3} - y^{3} = (x - y)$$

=> Ans - (A)

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