Identify like term in the following:

10pq, 7p, 8q, −p²q², −7qp, −100q, −23, 12q²p², −5p², 41, 2405p, 78qp, 13p²q, qp², 701p²

Simplify the following: \[- \frac{1}{2} a^2 b^2 c + \frac{1}{3}a b^2 c - \frac{1}{4}ab c^2 - \frac{1}{5}c b^2 a^2 + \frac{1}{6}c b^2 a - \frac{1}{7} c^2 ab + \frac{1}{8}c a^2 b .\]

Sum of a – b + ab, b + c – bc and c – a – ac is ______.

Simplify the following:

\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]

Simplify the following:

 x² − 3x + 5 −  \[\frac{1}{2}\] (3x² − 5x + 7)

In the polynomial, given below, separate the like terms :

y²z³, xy²z³, −5x²yz, −4y²z³, −8xz³y², 3x²yz and 2z³y²

State whether a given pair of term is of like or unlike term.

`-7x, 5/2 x`

State whether a given pair of term is of like or unlike term.

14xy, 42yx