# Solve by Factoring 4k^(4/3)-17k^(2/3)+4=0 Rewrite as .
Let . Substitute for all occurrences of .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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, .
Replace all occurrences of with .
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Rewrite as .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Simplify .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Simplify .
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
One to any power is one.
Raise to the power of .
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Simplify .
Cancel the common factor.
Divide by .
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Simplify .
Apply the product rule to .
One to any power is one.
Raise to the power of .
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Raise to the power of .
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Raise to the power of .
The final solution is all the values that make true.
Solve by Factoring 4k^(4/3)-17k^(2/3)+4=0