# Precalculus Examples

Step 1
Simplify with factoring out.
Step 1.1
Reorder and .
Step 1.2
Rewrite as .
Step 1.3
Factor out of .
Step 1.4
Factor out of .
Step 1.5
Rewrite as .
Step 2
Apply pythagorean identity.
Step 3
Simplify terms.
Step 3.1
Simplify each term.
Step 3.1.1
Rewrite in terms of sines and cosines.
Step 3.1.2
Apply the product rule to .
Step 3.2
Apply the distributive property.
Step 4
Multiply .
Step 4.1
Combine and .
Step 4.2
Multiply by by adding the exponents.
Step 4.2.1
Use the power rule to combine exponents.
Step 4.2.2
Step 5
Multiply .
Step 5.1
Multiply by .
Step 5.2
Multiply by .
Step 6
Simplify the expression.
Step 6.1
Rewrite as .
Step 6.2
Reorder and .
Step 7
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 8
Simplify terms.
Step 8.1
Simplify each term.
Step 8.1.1
Factor out of .
Step 8.1.2
Separate fractions.
Step 8.1.3
Convert from to .
Step 8.1.4
Divide by .
Step 8.2
Simplify each term.
Step 8.2.1
Factor out of .
Step 8.2.2
Separate fractions.
Step 8.2.3
Convert from to .
Step 8.2.4
Divide by .
Step 9
Expand using the FOIL Method.
Step 9.1
Apply the distributive property.
Step 9.2
Apply the distributive property.
Step 9.3
Apply the distributive property.
Step 10
Simplify terms.
Step 10.1
Combine the opposite terms in .
Step 10.1.1
Reorder the factors in the terms and .
Step 10.1.2
Step 10.1.3
Step 10.2
Simplify each term.
Step 10.2.1
Multiply .
Step 10.2.1.1
Raise to the power of .
Step 10.2.1.2
Raise to the power of .
Step 10.2.1.3
Use the power rule to combine exponents.
Step 10.2.1.4
Step 10.2.2
Rewrite using the commutative property of multiplication.
Step 10.2.3
Multiply .
Step 10.2.3.1
Raise to the power of .
Step 10.2.3.2
Raise to the power of .
Step 10.2.3.3
Use the power rule to combine exponents.
Step 10.2.3.4
Step 10.2.4
Multiply .
Step 10.2.4.1
Raise to the power of .
Step 10.2.4.2
Raise to the power of .
Step 10.2.4.3
Use the power rule to combine exponents.
Step 10.2.4.4