Question

expand : ( a + 1/2) 3 ​

Answer 1

Step-by-step explanation:

$(x + y) ^{3} = {x}^{3} + 3 {x}^{2} y + 3 x{y}^{2} + y ^{3}$

$(a + \frac{1}{2 } ) ^{3} = {a}^{3} + 3 {a}^{2} ( \frac{1}{2}) + 3a( \frac{1}{2} ) ^{2} + ( \frac{1}{2} ) ^{3}$

$= {a}^{3} + \frac{3 {a}^{2} }{2} + \frac{3a}{4} + \frac{1}{8}$