Question

expand. (a+1/2)^3
please answer my question​

Answer 1

$Expansion \: of \: \Big( a + \frac{1}{2}\Big)^{3}$

/* By algebraic identity */

$\boxed{\pink{ (x+y)^{3} = x^{3} + 3x^{2}y+3xy^{2}+y^{3} }}$

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

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

Therefore.,

$\red{Expansion \: of \: \Big( a + \frac{1}{2}\Big)^{3}}$

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

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