Question

Expand the following :
[ a+1/a ]3 ?
Formula:a3+1/a3+3(a+1/a)

Answer 1

Step-by-step explanation:

(a+1/a)*3=(a+1/a)*2(a+1/a)

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

=

${a}^{3} + a + 1 \div a + 1 \div {a}^{3} + 2a + 2 \div a$

=

• a*3+3/a+3a+1/a*3

a*3+1/a*3+3(a+1/a)

• Hence proved,,