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MathNet 2008-part-03 — 165 problems (EN–VI) Question 46

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 46

a) Calculate $(-3ab + a^2 - 1) - (-4a^2 + 5ab - 7) + 2(a - 2b)(a + b)$.

b) If $A = 7x^2$ and $B = -2y$, calculate $(A+B)^2$ and $(A+B)(A-B)$.