Question

$1+125a ^{3} b ^{15}$
$\frac{x ^{6} }{64}- \frac{8x ^{3}y ^{24} }{27}$

Answer 1

125a³b¹⁵ = 5³a³(b⁵)³ = ( 5ab⁵)³
1³ + ( 5ab⁵)³ = ( 1 + 5ab⁵)·( 1 - 5ab⁵ + 25a²b¹⁰ ) 

[(x²)³ / 4³   - 2³x³(y⁸)³ / 3³ ] = [ ( x² / 4)³   - ( 2xy⁸ / 3)³ ] = 
         = ( x² / 4   -  2xy⁸ / 3) ·( x⁴ /16  + 2x²xy⁸ / 4 ·3  + 4x²y¹⁶ / 9 )
         = ( x² / 4  -  2xy⁸ / 3) ( x⁴ /16  +  x³y⁸ / 6  + 4x²y¹⁶ / 9)