Question

factorize 1-a square minus b square minus 2ab

Answer 1

$1 - a {}^{2} - b {}^{2} - 2ab$
$1 - (a {}^{2} + b {}^{2} + 2ab)$
$1 - (a + b) {}^{2}$
$1 { }^{2} - (a + b)$
$(1 + a + b)(1 - a - b)$
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Answer 2

$Factorise \: 1 - {a}^{2} - {b}^{2} - 2ab \\ \\ 1 - ( {a}^{2} + {b}^{2} + 2ab ) \\ \\ 1 - {(a + b)}^{2} \\ \\ {(1)}^{2} - {(a + b)}^{2} \\ \\( 1 + (a + b) ) \: \: \: (1 - (a + b) ) \\ \\ (1 + a + b)(1 - a - b)$