Solve by Factoring (x-3)^(3/2)=27

Math
Move to the left side of the equation by subtracting it from both sides.
Rewrite as .
Rewrite as .
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Simplify.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Move to the left of .
Raise to the power of .
Add and .
Simplify .
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Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Add and .
Divide by .
Simplify .
Apply the distributive property.
Multiply by .
Move to the left of .
Multiply by .
Multiply by .
Simplify by adding terms.
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Combine the opposite terms in .
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Subtract from .
Add and .
Subtract from .
Subtract from .
Reorder factors in .
Graph each side of the equation. The solution is the x-value of the point of intersection.
Solve by Factoring (x-3)^(3/2)=27

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