Practice Difference Of Squares (1.4.4) - Factorization - IB 10 Mathematics – Group 5, Algebra
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Difference of Squares

Practice - Difference of Squares

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Factorize \( x^2 - 16 \).

💡 Hint: Look for the squares of the numbers.

Question 2 Easy

Factorize \( y^2 - 49 \).

💡 Hint: Remember to identify the squares.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the factorization of \( x^2 - 36 \)?

(x - 6)(x + 6)
(x - 12)(x + 12)
(x - 3)(x + 3)

💡 Hint: Find the square roots of 36.

Question 2

True or False: The difference of squares can only be applied to expressions with integer coefficients.

True
False

💡 Hint: Consider variables and fractions as well.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Factorize \( 100 - x^2 \) completely.

💡 Hint: Identify the square of 10.

Challenge 2 Hard

Factorize \( 16a^2 - 81b^2 \) completely.

💡 Hint: Recognize both parts as squares.

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Reference links

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