Question

Which of the following is correct? *
(a - b)² = a² + 2ab - b²
(a - b)² = a² - 2ab + b²
(a - b)² = a² - b²
(a + b)² = a² + 2ab - b²​

Answer 1

Answer:

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

second option is correct

Answer 2

(a - b)² = a² - 2ab + b²

Given: Options for (a-b)²

To Find: The correct option

Solution: By evaluating the expression (a-b)² we get,

(a-b)² = (a-b)(a-b)

Now, by multiplying the right-hand side of the equation and opening the brackets:

a² - ab - ab + b²

a² - 2ab + b²

Therefore, the option (a - b)² = a² - 2ab + b² is the correct option.

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