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Algebra & Combinatorics

🧮 Algebraic Identities — Practice Questions

20 Questions

Page 1 of 4
🟢 1

Use an algebraic identity to quickly calculate 103².

🟡 2

If a + b = 12 and ab = 36, find the value of a² + b².

🔴 3

Use an algebraic identity to quickly calculate 193².

🟢 4

Find the value of a³ + b³ if a = 5 and b = 2, using the identity a³+b³ = (a+b)(a²−ab+b²).

🟡 5

If a − b = 3 and ab = 40, find the value of a² + b².