1. The problem asks to find combinations of terms in each table that can be combined with the term written in red above each table.
2. The red terms are:
- First table: $-q$
- Second table: $3y$
- Third table: $-7x$
3. To combine terms, we look for like terms (same variable and power) in each table that can be added or subtracted with the red term.
4. First table (red term $-q$):
- Terms: $-6, 8, -(2), 2, -5x, -19, -7, 4, 2, 4x, x, 5, -x, 8x, -3$
- None of these terms contain $q$, so no combination is possible with $-q$.
5. Second table (red term $3y$):
- Terms: $5y, -2y, y, 5x, 3, -y, y, -4y, 8y, 6y, -7x, 8, 9y, -5y, 2y$
- Combine like terms with $3y$:
- $3y + 5y = 8y$
- $3y + (-2y) = y$
- $3y + y = 4y$
- $3y + (-y) = 2y$
- $3y + (-4y) = -y$
- $3y + 8y = 11y$
- $3y + 6y = 9y$
- $3y + 9y = 12y$
- $3y + (-5y) = -2y$
- $3y + 2y = 5y$
6. Third table (red term $-7x$):
- Terms: $4, 3x, y, -y, -x, 3z, -14, -z, 9x, 21, 8, 5x, 4y$
- Combine like terms with $-7x$:
- $-7x + 3x = -4x$
- $-7x + (-x) = -8x$
- $-7x + 9x = 2x$
- $-7x + 5x = -2x$
7. Summary of combinations:
- With $-q$: none
- With $3y$: $8y, y, 4y, 2y, -y, 11y, 9y, 12y, -2y, 5y$
- With $-7x$: $-4x, -8x, 2x, -2x$
Final answer:
- No combinations with $-q$.
- Combinations with $3y$ are $8y, y, 4y, 2y, -y, 11y, 9y, 12y, -2y, 5y$.
- Combinations with $-7x$ are $-4x, -8x, 2x, -2x$.
Term Combinations A43E46
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