Basic Math Examples

$t (t^{n - 1} + t^{n} + t^{n - 1})$

Step 1

Add $t^{n - 1}$ and $t^{n - 1}$ .

$t (2 t^{n - 1} + t^{n})$

Step 2

Apply the distributive property.

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

Step 3

Rewrite using the commutative property of multiplication.

$2 t \cdot t^{n - 1} + t \cdot t^{n}$

Step 4

Multiply $t$ by $t^{n}$ .

Tap for more steps...

Step 4.1

Raise $t$ to the power of $1$ .

$2 t \cdot t^{n - 1} + t^{1} t^{n}$

Step 4.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 t \cdot t^{n - 1} + t^{1 + n}$

Step 5

Multiply $t$ by $t^{n - 1}$ by adding the exponents.

Tap for more steps...

Step 5.1

Move $t^{n - 1}$ .

$2 (t^{n - 1} t) + t^{1 + n}$

Step 5.2

Multiply $t^{n - 1}$ by $t$ .

Tap for more steps...

Step 5.2.1

Raise $t$ to the power of $1$ .

$2 (t^{n - 1} t^{1}) + t^{1 + n}$

Step 5.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 t^{n - 1 + 1} + t^{1 + n}$

Step 5.3

Combine the opposite terms in $n - 1 + 1$ .

Tap for more steps...

Step 5.3.1

Add $- 1$ and $1$ .

$2 t^{n + 0} + t^{1 + n}$

Step 5.3.2

Add $n$ and $0$ .

$2 t^{n} + t^{1 + n}$