Question

(4³-2³+2²)²=.............?​

Answer 1

$( {4}^{3} - {2}^{3} + {2}^{2} )^{2} = \\ = ( { ({2}^{2} )}^{3} - {2}^{3} + {2}^{2} )^{2} \\ \: \: \: \: \: \: = ( {2}^{2} \times {2}^{4} - 2 \times {2}^{2} + {2}^{2} )^{2}$

$= ({2}^{2}({2}^{4} - 2 + 1))^{2} \\ = ({2}^{2}(16 - 2 + 1))^{2} \\ = ({2}^{2}(15))^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$= (4(15))^{2} \\ = (60)^{2} \: \: \: \: \: \\ = 3600 \: \: \: \: \: \:$

Saludos cordiales