The two values which will make the given true are 17 and 4.
Simplification
What is simplification?
By employing different processes, simplification refers to reducing the expression to a simpler form. The mathematical equation is simplified to its closest value using approximation, which is not perfectly accurate.
Simplification for the given equation:
Consider the given equation and substitute the vale 17 and 4 in the blank space.
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{48y^{4} }[/tex]
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{6*8y^{3} y}[/tex]
= [tex]17y\sqrt[3]{6y} -14\sqrt[3]{6*2^{3} y^{3} y}[/tex]
Further simplifying,
= [tex]17y\sqrt[3]{6y} -14*2y\sqrt[3]{6y}[/tex]
= [tex]17y\sqrt[3]{6y} -28y\sqrt[3]{6y}[/tex]
= [tex]-11y\sqrt[3]{6y}[/tex]
Therefore, the values for which the [tex]17y\sqrt[3]{6y} -14\sqrt[3]{48y^{4} }[/tex] = [tex]-11y\sqrt[3]{6y}[/tex] is 17 and 4.
To know more about solution of quadratic equation, here
https://brainly.com/question/1214333
#SPJ2
