scratsearcher 🔍🔮📊🎲 to Daily Maths ChallengesEnglish • edit-28 days agoEqualities 1hrmacbeth.github.iomessage-square3fedilinkarrow-up16arrow-down10file-text
arrow-up16arrow-down1external-linkEqualities 1hrmacbeth.github.ioscratsearcher 🔍🔮📊🎲 to Daily Maths ChallengesEnglish • edit-28 days agomessage-square3fedilinkfile-text
minus-squarescratsearcher 🔍🔮📊🎲OPlinkfedilinkEnglish4•8 days ago hint Use algebraic substitution and the binomial formulas (a+b)^2 = a^2+2*ab+b^2 (a-b)^2 = a^2-2*ab+b^2 Solution (a+b)^2 = a^2 + 2*ab + b^2 = (a-b)^2 +4*ab = 4^2+4*1 = 16+4 = 20 ◽
hint
Use algebraic substitution and the binomial formulas
(a+b)^2 = a^2+2*ab+b^2
(a-b)^2 = a^2-2*ab+b^2
Solution
(a+b)^2 = a^2 + 2*ab + b^2 = (a-b)^2 +4*ab = 4^2+4*1 = 16+4 = 20 ◽