Question

Factorise each of the following: x⁵ – 81x³ using identites​

Answer 1

Answer:

Step-by-step explanation:

1.  $x^{5} -81x^{3\\}$

$=x^{3}(x^{2} -81)$

$=x^{3} (x^{2} -(9)^{2} )$

$=x^{3}(x+9)((\sqrt{x} )^{2} -(3)^{2} )$       [∵ $a^{2}-b^{2}=(a+b)(a-b)$ ]

$=x^{3}(x+9) [(\sqrt{x} )+(3)} ][(\sqrt{x} )-(3)} ]$

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