Find the product:

Question:

Find the product:
(x2 − a2) × (x − a)

Solution:

By horizontal method:

$\left(x^{2}-a^{2}\right) \times(x-a)$

$=x^{2}(x-a)-a^{2}(x-a)$

$=x^{3}-a x^{2}-a^{2} x+a^{3}$

i.e $\left(x^{3}+a^{3}\right)-a x(x-a)$

 

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