Simplify <math><mstyle displaystyle="true"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> .

Expand <math><mstyle displaystyle="true"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify terms.

Combine the opposite terms in <math><mstyle displaystyle="true"><mi>x</mi><mo>⋅</mo><mi>x</mi><mo>+</mo><mi>x</mi><mo>⋅</mo><mn>1</mn><mo>-</mo><mn>1</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>⋅</mo><mn>1</mn></mstyle></math> .

Reorder the factors in the terms <math><mstyle displaystyle="true"><mi>x</mi><mo>⋅</mo><mn>1</mn></mstyle></math> and <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn><mi>x</mi></mstyle></math> .

Subtract <math><mstyle displaystyle="true"><mn>1</mn><mi>x</mi></mstyle></math> from <math><mstyle displaystyle="true"><mn>1</mn><mi>x</mi></mstyle></math> .

Add <math><mstyle displaystyle="true"><mi>x</mi><mo>⋅</mo><mi>x</mi></mstyle></math> and <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Simplify each term.

Multiply <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

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

Do you know how to Verify the Identity x^2-1=(x-1)(x+1)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

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

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

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

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

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

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

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

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

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