Answer:
Statement: "4 times a number cubed decreased by 7"
Let a number be x is denoted as an arbitrary variable.
Now, cubed means raise x to the third power i.e \(x^3\)
then, 4 times a number cubed i.e \(4x^3\)
Decreased by 7 means, subtract 7
⇒\(4x^3-7\)
Therefore, the algebraic expression for the given statement is, \(4x^3-7\)