Solution:
A quadratic expression is an algebraic expression of the second degree, which means it contains at least one term that is squared. The general form of a quadratic expression is $$ ax^2 + bx + c $$, where $$ a $$, $$ b $$, and $$ c $$ are constants, and $$ a $$ is not equal to zero.We can examine each option to determine which one is not a quadratic expression:a) $$ 3x^2 - x + 1 $$: This is a quadratic expression with a leading term of degree 2 ($$ 3x^2 $$).b) $$ x^3 -4 $$: This is not a quadratic expression because it has a term with a power of 3 ($$ x^3 $$), which makes it a cubic expression.c) $$ 4x^2 - 1 $$: This is a quadratic expression with a leading term of degree 2 ($$ 4x^2 $$).d) $$ 9 - x^2 $$: This is a quadratic expression, though written with terms in reverse order, with the squared term having a degree of 2 ($$ -x^2 $$).So, the expression that is not a quadratic expression is option (b) $$ x^3 -4 $$.