Question

(x^4 -81)(x²-25)/(x²-9)(x+5)

Answer 1

$\implies \frac{(x^4 - 3^{4})(x^{2}-5^{2}) }{( x^{2} - 3^{2} )(x+5)}\\\\ \implies \frac{[(x^2)^{2} - (3^{2})^{2}](x^{2}-5^{2} )}{( x^{2} - 3^{2} )(x+5)}\\\\\implies \frac{\cancel{(x^{2} -3^{2} ) }(x^{2} + 3^{2} )\cancel{ (x+5)}(x-5)}{\cancel{ ( x^{2} - 3^{2} )(x+5)}}\\\implies (x^{2}+3^{2})(x-5)$

[(x²+9)(x-5)]

$\huge{\boxed{\red{x^{3}-5x^{2}+9x-45}}}$