# Simplify (cos(A)-2)^2-4sin(A)^2

Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Combine the opposite terms in .
Reorder the factors in the terms and .
Simplify each term.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Move to the left of .
Multiply by .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify terms.
Combine the opposite terms in .
Subtract from .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Apply pythagorean identity.
Simplify (cos(A)-2)^2-4sin(A)^2

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