Simplify ((t+1)(t^2-1))/((t-1)(t+1)^2)

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Trigonometry

$\frac{(t + 1) (t^{2} - 1)}{(t - 1) {(t + 1)}^{2}}$

Cancel the common factors.

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Factor $t + 1$ out of $(t - 1) {(t + 1)}^{2}$ .

$\frac{(t + 1) (t^{2} - 1)}{(t + 1) ((t - 1) (t + 1))}$

Cancel the common factor.

$\frac{(t + 1) (t^{2} - 1)}{(t + 1) ((t - 1) (t + 1))}$

Rewrite the expression.

$\frac{t^{2} - 1}{(t - 1) (t + 1)}$

Simplify the numerator.

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Rewrite $1$ as $1^{2}$ .

$\frac{t^{2} - 1^{2}}{(t - 1) (t + 1)}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = t$ and $b = 1$ .

$\frac{(t + 1) (t - 1)}{(t - 1) (t + 1)}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor of $t + 1$ .

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Cancel the common factor.

$\frac{(t + 1) (t - 1)}{(t - 1) (t + 1)}$

Rewrite the expression.

$\frac{t - 1}{t - 1}$

Cancel the common factor of $t - 1$ .

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Cancel the common factor.

$\frac{t - 1}{t - 1}$

Divide $1$ by $1$ .

$1$

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Name

Name	nine hundred thirty million two hundred twenty-five thousand two hundred seventy-one

Interesting facts

930225271 has 4 divisors, whose sum is 970669872
The reverse of 930225271 is 172522039
Previous prime number is 23

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 31
Digital Root 4

Name

Name	one billion nine hundred twelve million four hundred one thousand six hundred two

Interesting facts

1912401602 has 4 divisors, whose sum is 2868602406
The reverse of 1912401602 is 2061042191
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 26
Digital Root 8

Name

Name	seven hundred twenty-four million seven hundred nineteen thousand two hundred forty-three

Interesting facts

724719243 has 16 divisors, whose sum is 985944960
The reverse of 724719243 is 342917427
Previous prime number is 307

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 39
Digital Root 3

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