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📰 5Question: If \( p + q = 10 \) and \( p^2 + q^2 = 58 \), find \( p^3 + q^3 \). 📰 Solution: We use the identity \( p^3 + q^3 = (p + q)^3 - 3pq(p + q) \). First, compute \( pq \) using \( (p + q)^2 = p^2 + 2pq + q^2 \). Substituting, \( 10^2 = 58 + 2pq \) gives \( 100 = 58 + 2pq \), so \( pq = 21 \). Then, \( p^3 + q^3 = 10^3 - 3 \cdot 21 \cdot 10 = 1000 - 630 = 370 \). oxed{370} 📰 Question: Expand the product \( (2x - 3y)^2 \). 📰 Walking Apps 📰 Play Hoboken 9790844 📰 Regal Airport Hotel 9460448 📰 Discover The Songs That Sum Up True Friendshipwithout Limits 6907466 📰 Sources Say Bank Of America Preferred Rewards Benefits And The Response Is Massive 📰 Ford Vin Number Recall 2768703 📰 Roblox Shop Items 📰 Dive Into The Hottest Upcoming Games Rewired For Epic 2025 Gaming 5902998 📰 Tokyo Ghoul Dbd 📰 Sudden Update Windows 10 Free License Key And Officials Speak 📰 A Science Administrator Is Analyzing Grant Proposals From Three Institutions Institution A Requests 12 Million Over 4 Years Institution B Requests 21 Million Over 6 Years And Institution C Requests 900000 Over 3 Years To Compare Proposal Durations The Administrator Converts All Requests Into Annualized Amounts What Is The Highest Annual Funding Value In Dollars When Annualized Using The Longest Project Duration As The Reference 2233656 📰 Cost To Move Across Country 📰 3 Horrifying Nun Massacre What Secrets Are Hidden Behind The Shock 8936443 📰 Heartgold Action Replay 📰 Stick With It