Question

guys..answer it correctly...​

Answer 1

Answer:

so correct answer will be option (1)

Answer 2

Answer:

1 - 2ab - (a² + b²) = (1 + a + b)(1 - a - b)

Option 1. is correct

Step-by-step explanation:

We have,

1 - 2ab - (a² + b²)

Now,

1 - 2ab - (a² + b²) = 1 - (2ab + (a² + b²))

Now, since addition is Associative,

= 1 - (2ab + a² + b²)

= 1 - (a² + 2ab + b²)

We know that,

a² + 2ab + b² = (a + b)²

So,

= 1 - (a + b)²

Now,

1² = 1

Since it doesn't make a change,

= 1² - (a + b)²

Using the identity,

x² - y² = (x + y)(x - y)

= [1 + (a + b)][1 - (a + b)]

= (1 + a + b)(1 - a - b)

Hence,

1 - 2ab - (a² + b²) = (1 + a + b)(1 - a - b)

Hope it helped and believing you understood it........All the best