https://file.aiquickdraw.com/mathbot/file/1726595833721l4bhivv4.jpg

The image contains three algebraic equations that you are likely tasked with simplifying or solving. Let's go through each of them:

1. \( a) \ (a - b)^2 + 4ab = (a + b)^2 \)
   
2. \( b) \ (a + b)^3 - (a - b)^3 - 6a^2b = 2b^3 \)

3. \( c) \ (a - 1)^2 - 2(a - 1)(a + 1) + (a + 1)^2 = 4 \)

Would you like me to solve these equations step by step, or would you prefer details on a specific part?

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Here are five questions you might explore based on the equations:

1. How can you expand the squares in equation (a)?
2. What is the binomial expansion of a cube for equation (b)?
3. How do you simplify the expression in equation (c)?
4. Can you identify patterns in how the terms cancel out in each equation?
5. How does factoring play a role in simplifying each equation?

**Tip**: When working with binomials, always expand and simplify step by step to avoid errors with signs and terms.

Na podstawie równań algebraicznych: 
 a) (a - b)^2 + 4ab = (a + b)^2 
 b) (a + b)^3 - (a - b)^3 - 6a^2b = 2b^3 
 c) (a - 1)^2 - 2(a - 1)(a + 1) + (a + 1)^2 = 4

Explore the process of solving algebraic equations involving binomial expansions, including simplifying equations like (a - b)^2 + 4ab = (a + b)^2 and working through cubic and quadratic expressions. Suitable for students in Grades 9-11.

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