Question

(2x - 1)^2 - (x - 1)^2

Answer 1

${(2x - 1)}^{2} - {(x - 1)}^{2}$

$=[ {(2x)}^{2} - 2.2x.1 + {(1)}^{2}] -[ {(x)}^{2} - 2.x.1 + {(1)}^{2}]$

$= 2 {x}^{2} - 4x + 1 - {x}^{2} + 2x - 1$

$= {x}^{2} - 2x$

divide by x

$= x - 2$