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Multiply the numerator by the reciprocal of the denominator.

Simplify the numerator.

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

Simplify.

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Simplify with factoring out.

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Separate fractions.

Simplify the expression.

Divide by .

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Expand using the FOIL Method.

Apply the distributive property.

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Apply the distributive property.

Simplify each term.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

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Simplify the numerator.

Factor out of .

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

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Replace with in the equation.

Solve the equation for .

Move to the left side of the equation by subtracting it from both sides.

Simplify .

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by .

Expand using the FOIL Method.

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Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

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Expand by multiplying each term in the first expression by each term in the second expression.

Simplify each term.

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Simplify the numerator.

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Simplify.

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Rewrite as .

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

Simplify.

Add and .

Add and .

Factor out of .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

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Multiply by .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify each term.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Move to the left of .

Rewrite as .

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Move to the left of .

Rewrite as .

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Move to the left of .

Rewrite as .

Multiply by .

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Combine the opposite terms in .

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Apply the distributive property.

Multiply by .

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Multiply by .

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Combine the opposite terms in .

Subtract from .

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Since , the equation will always be true.

Always true

Always true

Always true

The solution to the system is the complete set of ordered pairs that are valid solutions.

Solve by Substitution A=4300(1+n*0.05) , FV=(603.42((1+0.01)^(4n)-1))/0.01