# Simplify (x^2-4)/(4x^2-12x)*(2x+4)/(-x^2+5x-6)

Simplify the numerator.

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Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Simplify with factoring out.

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Factor out of .

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Factor out of .

Factor out of .

Factor out of .

Factor out of .

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Factor out of .

Factor out of .

Factor out of .

Factor by grouping.

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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

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Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

Cancel the common factor of .

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Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Cancel the common factor of and .

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Factor out of .

Rewrite as .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

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Move to the left of .

Move the negative in front of the fraction.

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