Question

a²-b²+2bc-c²? factories ​

Answer 1

Answer:

(a-b+c)(a+b-c)

Step-by-step explanation:

a²-b²+2bc-c² = a² - (b² -2bc +c²)

                     = a² - (b-c)²

                     = (a-(b-c))(a+(b-c))  [using identity a²-b² =(a-b)(a+b)]

                     = (a-b+c)(a+b-c)

Answer 2

$\sf \: a²-b²+2bc-c² \\ \red \implies \: a {}^{2} - (b {}^{2} - 2bc + c {}^{2} ) \\ \pink{\implies} a {}^{2} - (b - c) {}^{2} \\ \blue \implies \purple{(a + b - c)(a - b + c)}$