https://peda.net/id/22f66b6c2cf 2022-09-05T12:42:41+03:00 https://peda.net/:static/533/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/22f6e2912cf 2020-05-14T12:54:42+03:00 <a href="https://peda.net/id/22fc3baa2cf" rel="noopener" target="_blank">Basic exercises<br/> </a><a href="https://peda.net/id/22fe63d32cf" rel="noopener" target="_blank">Applied exercises</a><br/> <a href="https://peda.net/id/22ff56b02cf" rel="noopener" target="_blank">Challenging exercises</a> 2022-09-05T12:42:41+03:00 https://peda.net/id/22fa4a452cf 2020-11-06T16:30:29+02:00 <div class="eoppi-summary"> <p>Two terms are <em>identical </em>if they have exactly the same variable part. The constants are also similar.</p> </div> <br/> <p>Only identical terms can be combined in addition and subtraction. When combining identical terms, the sum or difference of the coefficients is calculated and the letter part remains the same.</p> <h3><br/> Example 1</h3> <p>Simplify the expressions if possible.</p> <table class="borderless"> <tbody> <tr> <td>a)</td> <td>[[$ 17 \text{ €} + 4 \text{ €} = 21 \text{ €} $]]​</td> <td> </td> </tr> <tr> <td>b)</td> <td>[[$ 150 \text{ m} -35 \text{ m} = 115 \text{ m} $]]​</td> <td> </td> </tr> <tr> <td>c)</td> <td>[[$ 6x+9x=15x $]]​</td> <td> </td> </tr> <tr> <td>d)</td> <td>[[$ 18 \text{ cm} + 101 \text{ €} $]]​</td> <td><b>Cannot be combined, because the terms have different letters.  </b></td> </tr> <tr> <td>e)</td> <td>[[$ 5a-3b $]]​</td> <td><b>Cannot be combined, because the terms have different letters. </b> </td> </tr> </tbody> </table> <h3><br/> Example 2</h3> <p>Simplify the expressions.</p> <span class="medium"><a href="https://peda.net/qis/2022-2023/mathematics/maths-grade-9/oipjp/1tyjj/ts/7#top" title="12_example2.png"><img src="https://peda.net/qis/2022-2023/mathematics/maths-grade-9/oipjp/1tyjj/ts/7:file/photo/f9a7b64f8384454f62b9bb0cf663b23057364728/12_example2.png" alt="" title="a) The simplified terms and their signs are combined. c) Do not forget to include terms that cannot be combined in the answer." class="inline" loading="lazy"/></a></span> 2022-09-05T12:42:41+03:00 https://peda.net/id/22fbd7272cf 2020-09-09T10:48:53+03:00 <div class="eoppi-summary"> <p>The terms of a polynomial are usually arranged in alphabetical order according to their letter parts, so that the exponents of the letter parts decrease from left to right. The standard term is written last.</p> </div> <h3><br/> Example 3</h3> Arrange the polynomials.<br/> <br/> a) [[$ -3a^2 + 6 + a^4 = a^4 -3a^2 +6 $]]​<br/> b) ​[[$ ab +2a^3 -4b +b^2 = 2a^3 +ab +b^2 -4b $]]​ 2022-09-05T12:42:41+03:00 https://peda.net/id/23002acf2cf 2020-05-20T12:45:11+03:00 <b><a href="https://peda.net/id/2289de432cf:sitemap">To the table of contents</a></b> 2022-09-05T12:42:41+03:00