# Simplify x^(3/2)( square root of x-1/( square root of x))

Simplify each term.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Apply the distributive property.
Multiply .
Use to rewrite as .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Rewrite using the commutative property of multiplication.
Simplify each term.
Combine and .
Use to rewrite as .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Raise to the power of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify x^(3/2)( square root of x-1/( square root of x))