Verify the Identity x^2-1=(x-1)(x+1)

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Trigonometry

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

Simplify the right side.

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Simplify $(x - 1) (x + 1)$ .

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Expand $(x - 1) (x + 1)$ using the FOIL Method.

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

$x^{2} - 1 = x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1$

Simplify terms.

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Combine the opposite terms in $x \cdot x + x \cdot 1 - 1 x - 1 \cdot 1$ .

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Reorder the factors in the terms $x \cdot 1$ and $- 1 x$ .

$x^{2} - 1 = x \cdot x + 1 x - 1 x - 1 \cdot 1$

Subtract $1 x$ from $1 x$ .

$x^{2} - 1 = x \cdot x + 0 - 1 \cdot 1$

Add $x \cdot x$ and $0$ .

$x^{2} - 1 = x \cdot x - 1 \cdot 1$

Simplify each term.

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Multiply $x$ by $x$ .

$x^{2} - 1 = x^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$x^{2} - 1 = x^{2} - 1$

Since the two sides have been shown to be equivalent, the equation is an identity.

$x^{2} - 1 = (x - 1) (x + 1)$ is an identity.

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Name

Name	one billion three hundred ninety-nine million eight hundred ninety-six thousand eight hundred forty-three

Interesting facts

1399896843 has 4 divisors, whose sum is 1866529128
The reverse of 1399896843 is 3486989931
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 60
Digital Root 6

Name

Name	three hundred fifty-nine million three hundred ninety-two thousand twelve

Interesting facts

359392012 has 32 divisors, whose sum is 956020320
The reverse of 359392012 is 210293953
Previous prime number is 29

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 34
Digital Root 7

Name

Name	one billion nine hundred thirty-six million five hundred forty-four thousand three hundred twenty-eight

Interesting facts

1936544328 has 128 divisors, whose sum is 9689673600
The reverse of 1936544328 is 8234456391
Previous prime number is 2039

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 45
Digital Root 9

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