Question

(a-b)^2-(b-c)^2. please help me out

Answer 1

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(a - b)² - (b - c)²

Using Formula :-

(a² - b²) = (a + b)(a - b)

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

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

a² - 2ab + ac - ac + 2bc - c²

a² - 2ab + 2bc - c²

Answer 2

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(a - b)² - (b - c)²

Using Formula :-

(a² - b²) = (a + b)(a - b)

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

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

a² - 2ab + ac - ac + 2bc - c²

a² - 2ab + 2bc - c²