# Algebra Examples

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To find the distance between two points, square the difference of the x, y, and z points. Then, sum them and take the square root.
Replace , , , , , and with the corresponding values.
Simplify the expression .
Simplify each term.
Reduce the expression by cancelling the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by to get .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Simplify the expression.
Apply the product rule to .
Raise to the power of to get .
Raise to the power of to get .
Multiply by to get .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by to get .
Subtract from to get .
Move the negative in front of the fraction.
Apply the product rule to .
Raise to the power of to get .
Multiply by to get .
Apply the product rule to .
Raise to the power of to get .
Raise to the power of to get .
Multiply by to get .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by to get .
Multiply by to get .
Subtract from to get .
Simplify the expression.
Apply the product rule to .
Raise to the power of to get .
Raise to the power of to get .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Multiply by to get .
Multiply by to get .
Multiply by to get .
Rewrite using the quotient rule for radicals.
Simplify the numerator.
Rewrite as .
Pull terms out from under the radical.
Simplify the denominator.
Rewrite.
Remove parentheses around .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The distance between and is .

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