Question

. Find the coefficient of x2 in the expansion of (x+4)3.​

Answer 1

Answer:

${(x + 4)}^{3}$

$= {x}^{3} + {(4)}^{3} + 3(x)(4)(x + 4)$

$= {x}^{3} + 64 + 12x(x + 4)$

$= {x}^{3} + 64 + 12 {x}^{2} + 48x$

$= {x}^{3} + 12 {x}^{2} + 48x + 64$

The coefficient of x² is 12

Hope it helps u...