Algebra Examples

$\sin (θ) (\cos (θ) - \sin (θ))$

Step 1

Apply the distributive property.

$\sin (θ) \cos (θ) + \sin (θ) (- \sin (θ))$

Step 2

Rewrite using the commutative property of multiplication.

$\sin (θ) \cos (θ) - \sin (θ) \sin (θ)$

Step 3

Multiply $- \sin (θ) \sin (θ)$ .

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Step 3.1

Raise $\sin (θ)$ to the power of $1$ .

$\sin (θ) \cos (θ) - (\sin^{1} (θ) \sin (θ))$

Step 3.2

Raise $\sin (θ)$ to the power of $1$ .

$\sin (θ) \cos (θ) - (\sin^{1} (θ) \sin^{1} (θ))$

Step 3.3

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

$\sin (θ) \cos (θ) - {\sin (θ)}^{1 + 1}$

Step 3.4

Add $1$ and $1$ .

$\sin (θ) \cos (θ) - \sin^{2} (θ)$