1. **Stating the problem:** We have a 2x3 matrix with terms: Top row: $-3$, $-12x$, $-15$ Bottom row: $5x$, missing term $?$ , $25x$ Outside the matrix below: $4x$ and $+5$ We need to find the missing term $?$ in the bottom row. 2. **Analyzing the matrix:** The matrix seems to relate terms in a pattern. Notice the top and bottom rows have expressions involving $x$ and constants. 3. **Looking for a pattern:** - The first column: top $-3$, bottom $5x$ - The third column: top $-15$, bottom $25x$ Check if the bottom terms relate to the top terms by multiplication or some operation. 4. **Check ratio of bottom to top terms:** - For first column: bottom/top = $\frac{5x}{-3}$ - For third column: bottom/top = $\frac{25x}{-15} = \frac{25x}{-15} = -\frac{5x}{3}$ Both ratios simplify to $-\frac{5x}{3}$. 5. **Apply this ratio to the middle column:** Top middle term is $-12x$ Multiply by $-\frac{5x}{3}$: $$-12x \times -\frac{5x}{3} = 12x \times \frac{5x}{3} = \frac{12 \times 5}{3} x^2 = 20x^2$$ 6. **Conclusion:** The missing term is $20x^2$. **Final answer:** $20x^2$