Given algebraic expression = x + 4 3 Use the standard algebraic identity ( a + b ) 3 = a 3 + b 3 + 3 a b a + b to find x + 4 3 . Compare ( x + 4 ) 3 with ( a + b ) 3 , we get a = x and b = 4 . So, x + 4 3 = x 3 + 4 3 + 3 × x × 4 x + 4 ⇒ ( x + 4 ) 3 = x 3 + 4 3 + 12 x x + 4 ⇒ x + 4 3 = x 3 + 64 + 12 x 2 + 48 x Hence, the expanded form of x + 4 3 = x 3 + 12 x 2 + 48 x + 64

We have y - 5 3 Comparing ( y - 5 ) 3 with ( a - b ) 3 We have a = y and b = 5 ( y − 5 ) 3 = ( y ) 3 − 3 ( y ) 2 ( 5 ) + 3 ( y ) ( 5 ) 2 − ( 5 ) 3 = ( y ) 3 − 3 y 2 ( 5 ) + 3 ( y ) ( 25 ) − 125 ( y − 5 ) 3 = y 3 − 15 y 2 + 75 y − 125 Hence, the required answer is y 3 − 15 y 2 + 75 y − 125 .