Question

a²+b²-2(ab-ac+bc)
factorise by using identities​

Answer 1

Step-by-step explanation:

${a}^{2} + {b}^{2} - 2(ab - ac + bc)$

$= {a}^{2} + {b}^{2} - 2ab + 2ac - 2bc$

$= {(a - b)}^{2} + 2ac - 2bc$

$= {(a - b)}^{2} + 2c(a - b)$

$= (a - b)(a - b + 2c)$

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