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 | three hundred thirty-nine million one hundred forty-seven thousand three hundred twenty-two |
---|

- 339147322 has 4 divisors, whose sum is
**508720986** - The reverse of 339147322 is
**223741933** - Previous prime number is
**2**

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

Name | seven hundred eighty-eight million eight hundred ninety-nine thousand one hundred sixty-seven |
---|

- 788899167 has 32 divisors, whose sum is
**1146685440** - The reverse of 788899167 is
**761998887** - Previous prime number is
**977**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 63
- Digital Root 9

Name | one billion seven hundred forty-one million nine hundred seventy-four thousand nine hundred fifty-one |
---|

- 1741974951 has 16 divisors, whose sum is
**2343650400** - The reverse of 1741974951 is
**1594791471** - Previous prime number is
**181**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 48
- Digital Root 3