Question

Coefficient of x2in (x2+2)^3

Answer 1

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

Using...

$(a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$

$( { {x}^{2} })^{3} + {2}^{3} + 3 \times {x}^{2} \times 2( {x}^{2} + 2)$

${x}^{6} + 8 + {6x}^{2} ( {x}^{2} + 2)$

${x}^{6} + 8 + {6x}^{4} + 12$

${x}^{6} + {6x}^{4} + 20$

So, the coefficient of x^2 is zero here.