Question

the factons of a²-1-2x - x². are​

Answer 1

Solution:

Given,

= a² - 1 - 2x - x²

• We have to find out the factors of the given expression.

This can be written as,

= a² - (x² + 2x + 1)

Now, factor out x² + 2x + 1,

= x² + x + x + 1

= x(x + 1) + 1(x + 1)

= (x + 1)²

So, the result becomes,

a² - (x + 1)²

Using identify a² - b² = (a + b)(a - b), we get,

= (a + x + 1)(a - x - 1)

• So, the factors are - (a + x + 1) and (a - x - 1).

Answer:

• The factors of the given expression are - (a + x + 1) and (a - x - 1).

Answer 2

Step-by-step explanation:

Solution:

Given,

= a² - 1 - 2x - x²

• We have to find out the factors of the given expression.

This can be written as,

= a² - (x² + 2x + 1)

Now, factor out x² + 2x + 1,

= x² + x + x + 1

= x(x + 1) + 1(x + 1)

= (x + 1)²

So, the result becomes,

a² - (x + 1)²

Using identify a² - b² = (a + b)(a - b), we get,

= (a + x + 1)(a - x - 1)

• So, the factors are - (a + x + 1) and (a - x - 1).

Answer:

The factors of the given expression are - (a + x + 1) and (a - x - 1).

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