from PIL import Image import pytesseract

Load the image to extract text

image_path = "/mnt/data/173244106107935h1ctgc.jpg" text = pytesseract.image_to_string(Image.open(image_path))

text'3(p —q) for p = 12 and q =3\n3ab + 7c fora=5,b=4andc=10\n86 — tuv fort=3,u=6andv=4\n\na forr = 60,s=5andt=4\n\nst\na\niS fora = 20 andb=4\n2m? form =4\n\n44—452 +72 fors=2andt=8\n''3(p —q) for p = 12 and q =3\n3ab + 7c fora=5,b=4andc=10\n86 — tuv fort=3,u=6andv=4\n\na forr = 60,s=5andt=4\n\nst\na\niS fora = 20 andb=4\n2m? form =4\n\n44—452 +72 fors=2andt=8\n'successHere are the extracted equations and their values for solving:

1. $3(p - q)$, where $p = 12$ and $q = 3$.
2. $3ab + 7c$, where $a = 5$, $b = 4$, and $c = 10$.
3. $86 - tuv$, where $t = 3$, $u = 6$, and $v = 4$.
4. $\frac{r}{st}$, where $r = 60$, $s = 5$, and $t = 4$.
5. $\frac{a}{b}$, where $a = 20$ and $b = 4$.
6. $2m^2$, where $m = 4$.
7. $44 - 4s^2 + t^2$, where $s = 2$ and $t = 8$.

Let’s solve each step by step.

Solutions:

1. $3(p - q) = 3(12 - 3) = 3 \cdot 9 = 27$

2. $3ab + 7c = 3(5)(4) + 7(10) = 60 + 70 = 130$

3. $86 - tuv = 86 - (3)(6)(4) = 86 - 72 = 14$

4. $\frac{r}{st} = \frac{60}{5 \cdot 4} = \frac{60}{20} = 3$

5. $\frac{a}{b} = \frac{20}{4} = 5$

6. $2m^2 = 2(4)^2 = 2 \cdot 16 = 32$

7. $44 - 4s^2 + t^2 = 44 - 4(2)^2 + (8)^2 = 44 - 16 + 64 = 92$

Final Answers:

1. $27$
2. $130$
3. $14$
4. $3$
5. $5$
6. $32$
7. $92$

Let me know if you'd like further clarifications or detailed steps for any of these!

Here are five related questions for deeper exploration:

1. What happens to the solutions if the constants in the equations are increased by a factor of 2?
2. How would you modify these equations to simplify the calculations further?
3. Can you graph any of these equations to visualize their behavior for a range of values?
4. What is the effect of reversing the values of $p$ and $q$ in $3(p - q)$?
5. How does squaring the result of any of these answers impact the original equation?

Tip: Always double-check values substituted into equations to avoid errors in calculations!