Question

factorize
1-(a-b)^2 ​

Answer 1

(1+a-b)(1-a+b). by using

a^2-b^2=(a+b)(a-b)

Answer 2

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION \: \: \red{ \mid}}}}}}}}$

$\underline{ \bold{ \: \: We \: \: know \: \: that \: \: }} \\ \\ \boxed{ \bold{ \: \: x {}^{2} - y {}^{2} = (x + y)(x - y) \: }}$



$\bold{1 - (a - b) {}^{2} } \\ \\ \bold{ = (1) {}^{2} - (a -b ) {}^{2} } \\ \\ \\ \underline{ \bold{ \: \: Using \: \: the \: \: above \: \: formula \: \: }} \\ \\ \\ \bold{(1 + (a - b)(1 - (a - b)} \\ \\ \bold{ = (1 + a - b)(1 - a + b)}$

$\bold{So,} \\ \\ \underline{ \pink{ \bold{ \: \: 1 - (a - b) {}^{2} = (1 + a - b)( 1 - a+ b) \: \: }}}$