Question

विस्‍तार करा : $(a+\frac{1}{2})^3$

Answer 1

विस्‍तार
${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2}$
$( {a + \frac{1}{2}) }^{3} = {a}^{3} + ({ \frac{1}{2} })^{3} + 3 {a}^{2} ( \frac{1}{2}) + 3a {( \frac{1}{2} })^{2} \\ \\ = {a}^{3} + \frac{1}{8} + \frac{3}{2} {a}^{2} + \frac{3}{4} a \\ \\ ( {a + \frac{1}{2}) }^{3}= {a}^{3} + \frac{3}{2} {a}^{2} + \frac{3}{4} a + \frac{1}{8}$