Question

(x+1)(x-1)(x²+1) please give quickly​

Answer 1

Answer:

x⁴-1

Step-by-step explanation:

(x+1)(x-1)(x²+1)

(x²-1²)(x²+1)

we can write it as

(x²-1²)(x²+1²)

it is in the form of (a-b)(a+b)=a²-b²

so,here a is x² and b is 1²

(x²)²-(1²)²

x⁴-1

I thinks it's useful

Answer 2

(x + 1)(x - 1)(x² + 1) = x⁴ - 1

Given :

The expression (x + 1)(x - 1)(x² + 1)

To find :

Simplify the given expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (x + 1)(x - 1)(x² + 1)

Step 2 of 2 :

Simplify the given expression

We use the formula a² - b² = ( a + b ) ( a - b )

Thus we get

$\sf (x + 1)(x - 1)( {x}^{2} + 1)$

$\sf = ( {x}^{2} - {1}^{2} )( {x}^{2} + 1)$

$\sf = ( {x}^{2} - 1 )( {x}^{2} + 1)$

$\sf = ( {x}^{2} + 1 )( {x}^{2} - 1)$

$\sf = {( {x}^{2} )}^{2} - {1}^{2}$

$\sf = {x}^{4} - 1$