Question

write the coefficient of x²in expans
ion of (x-2)³​

Answer 1

Answer:

$\Huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}}{\color{pink}{:}}}}}$

ᴛʜᴇ ᴄᴏᴇғғɪᴄɪᴇɴᴛ ᴏғ

${x}^{2} \: is \: - 6$

$\bf{\green{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}}$

$\mathcal\blue{The\:given\:expression \:is}$

$(x - 2)^{3}$

$\mathcal\red{Using\:the\:formula \:=}$

$(a - b)^{3} = {a}^{3} - 3 {a}^{2}b + 3a {b}^{2} - {b}^{3}$

$\mathcal\purple{We \:get}$

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

$(x - 2) ^{3} = {x}^{3} - 6 {x}^{2} + 12x - 8$

$\bold\pink{Therefore, }$

$\mathcal\orange{The\:coefficient \:is}$

$\huge\bold\red{-6}$

$\bf{\green{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}}$