Question

875×875×875+125×125×125/875×875×-875×125+125×125​

Answer 1

Answer:

=1000

Step-by-step explanation:

Let Z=875×875×875+125×125×125 / 875×875 - 875×125 + 125×125​

Let x=875 and y=125 then

z=x³+y³/(x²-xy+y²)

=(x+y)(x²-xy+y²) / (x²-xy+y²)

=x+y

===

Putting value of x and y

z=875+125

=1000

Answer 2

Answer:

$\dfrac{875\times \:875\times \:875+125\times \:125\times \:125}{875\times \:875\left(-875\times \:125\right)+125\times \:125}=-\dfrac{21500}{2679687}\quad \left(\mathrm{Decimal:\quad }\:-0.00802\dots \right)$

Step-by-step explanation:

$\dfrac{875\times \:875\times \:875+125\times \:125\times \:125}{875\times \:875\left(-875\times \:125\right)+125\times \:125}$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=\dfrac{875\times \:875\times \:875+125\times \:125\times \:125}{-875\times \:875\times \:875\times \:125+125\times \:125}$

$875\times \:875\times \:875+125\times \:125\times \:125=671875000$

$=\dfrac{671875000}{-875\times \:875\times \:875\times \:125+125\times \:125}$

$-875\times \:875\times \:875\times \:125+125\times \:125=-83740218750$

$=\dfrac{671875000}{-83740218750}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \dfrac{a}{-b}=-\dfrac{a}{b}$

$=-\dfrac{671875000}{83740218750}$

$\mathrm{Cancel\:the\:common\:factor:}\:31250$

$=-\dfrac{21500}{2679687}$