Practice Algebraic Identities (2.3) - Algebra

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6 sample questions

Question 1.
Expand (x + 3)² using the identity.
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Recall the square of a sum identity.
Question 2.
What is the difference of squares of 5² - 2²?
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Identify a and b in the expression a² - b².
3Question 3.
What is the expansion of (a + b)²?
- a² + 2b + ab
- a² + 2ab + b²
- a² - 2ab + b²
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Think about how squares and products involve both terms.
4Question 4.
Is the identity a² - b² = (a + b)(a - b) true?
- True
- False
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Recall how differences can be factored into products.
Question 5.
If a = 3 and b = 5, calculate (a + b)³ - (a - b)³.
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Evaluate each identity separately and then combine.
Question 6.
Prove a² - b² = (a - b)(a + b) using numerical values.
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Check both sides for equality by choosing simple values.

4 more questions in this section. Enroll free to practise them all.