https://peda.net/id/e5e78f86093 2020-10-08T09:38:38+03:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/c374f8c0093 2020-10-08T09:44:50+03:00 Use the simplification rules to calculate the following by hand.<br/> <ol> <li>[[$9^2$]]</li> <li>[[$11^2$]]</li> <li>[[$99^2$]]</li> <li>[[$101^2$]]</li> <li>[[$105^2$]]</li> <li>[[$1001^2$]]</li> <li>[[$999^2$]]</li> <li><span>Find the pattern in the sequence [[$9^2$]], </span><span>[[$99^2$]], </span><span>[[$999^2$]], ...</span></li> <li><span>Find the pattern in the sequence [[$1^2$]], </span><span>[[$11^2$]], </span><span>[[$101^2$]], ...</span></li> </ol> 2020-10-08T09:44:50+03:00 https://peda.net/id/2e5e86f2093 2020-10-08T09:40:40+03:00 By applying <a href="https://peda.net/p/janne.rytkonen/ym/4pjp/4pkm#top" class="uuid-330f6db0-e85b-11e6-8c4d-eaecf9f45fbc">4.21 Polynomin kertominen monomilla</a> twice to a binomial, you can obtain the following ​simplification rules:<br/> <br/> [[$$(a+b)^2=a^2+2ab+b^2$$]]<br/> [[$$(a-b)^2=a^2-2ab+b^2$$]] 2020-10-08T09:40:40+03:00