Factorise:

Question:

Factorise:
1 − (b − c)2

Solution:

We have:

$1-(b-c)^{2}=(1)^{2}-(b-c)^{2}$

$=\{1+(b-c)\}\{1-(b-c)\}$

$=(1+b-c)(1-b+c)$

$\therefore 1-(b-c)^{2}=(1+b-c)(1-b+c)$

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