Trigonometry Examples

$b^{4} (2 b^{2} + b)$

Step 1

Apply the distributive property.

$b^{4} (2 b^{2}) + b^{4} b$

Step 2

Rewrite using the commutative property of multiplication.

$2 b^{4} b^{2} + b^{4} b$

Step 3

Multiply $b^{4}$ by $b$ by adding the exponents.

Tap for more steps...

Step 3.1

Multiply $b^{4}$ by $b$ .

Tap for more steps...

Step 3.1.1

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

$2 b^{4} b^{2} + b^{4} b^{1}$

Step 3.1.2

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

$2 b^{4} b^{2} + b^{4 + 1}$

Step 3.2

Add $4$ and $1$ .

$2 b^{4} b^{2} + b^{5}$

Step 4

Multiply $b^{4}$ by $b^{2}$ by adding the exponents.

Tap for more steps...

Step 4.1

Move $b^{2}$ .

$2 (b^{2} b^{4}) + b^{5}$

Step 4.2

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

$2 b^{2 + 4} + b^{5}$

Step 4.3

Add $2$ and $4$ .

$2 b^{6} + b^{5}$