Practice Algebraic Identities - 2 | Chapter 3 : Algebra | ICSE 8 Maths
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Algebraic Identities

2 - Algebraic Identities

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Expand (x + 5)² using the identity.

💡 Hint: Remember the formula (a + b)².

Question 2 Easy

What does a² - b² factor to?

💡 Hint: Think about the difference of squares.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the identity (a + b)² equal?

a² + b² + 2ab
a³ + b³
a² + b² - 2ab

💡 Hint: Remember to sum squares and include the product term.

Question 2

True or False: The difference of squares states that a² - b² can be factored as (a - b)(a + b).

True
False

💡 Hint: Keep the order for positive and negative signs in mind.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove the identity (2x + 3)² = 4x² + 12x + 9 and justify each step of your solution.

💡 Hint: Remember to separate each term carefully.

Challenge 2 Hard

Given a² - b² = (a - b)(a + b), how would you use this to find values if a=5 and b=3?

💡 Hint: Factor first and calculate each side for verification.

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