Question

Simplify : (x⁴-625)÷(x+5)

Answer 1

Step-by-step explanation:

(x²+25)(x²-25)/x+5

=(x²+25)(x-5)(x+5)/x+5

=(x²+25)(x-5) ans..

Answer 2

$\bf\large\underline\blue{Question:-}$

• Simplify $\frac{ {x}^{4} - 625}{x + 5}$

$\bf\large\underline\blue{Solution:-}$

$\frac{ {x}^{4} - 625}{x + 5}$

$= \frac{ { ({x}^{2} )}^{2} - {(25)}^{2} }{(x + 5)}$

$= \frac{( {x}^{2} + 25)( {x}^{2} - 25) }{(x + 5)}$

$= \frac{( {x}^{2} + 25) ( {(x)}^{2} - {(5)}^{2} )}{(x + 5)}$

$= \frac{( {x}^{2} + 25)(x - 5) \cancel{(x + 5)} }{ \cancel{(x + 5)}}$

$= ({x}^{2} + 25)(x + 5)$

$\bf\large\underline\blue{Answer:-}$

• Answer is $({x}^{2} + 25)(x + 5)$