Classify the following expressions as monomials, binomials and trinomials.

$x^3+y^3-z^3$

Classify the following expressions as monomials, binomials and trinomials.

$3x+4y$

Write the algebraic expressions for the following case:

The sum of $a$ and $b$.

Write the algebraic expressions for the following case:

$a$ taken away from $4b$

Write the algebraic expressions for the following case:

One-third of the sum of $x, y$ and $z$.

Write the algebraic expressions for the following case:

The sum of the squares of $a$ and $b$.

Write the algebraic expressions for the following case:

The product of $x$ and $2y$ divided by $7$.

Write the algebraic expressions for the following case:

$10$ is added to two times the product of $p$ and $q$.

Write the algebraic expressions for the following case:

The sum of $x, y, z$ subtracted from the product of $x$ and $y$.