Rasyonel İfadelerde Toplama ve Çıkarma

$\begin{aligned} &\phantom{=}\dfrac{\blueD4}{\purpleC5}-\dfrac{\blueD1}{\purpleC5}\\\\\\ &=\dfrac{\blueD{4}-\blueD{1}}{\purpleC 5}\\ \\ &=\dfrac{3}{5} \end{aligned}$

$\begin{aligned} &\phantom{=}\dfrac{\blueD{7a+3}}{\purpleC{a+2}}+\dfrac{\blueD{2a-1}}{\purpleC{a+2}}\\\\\\ &=\dfrac{(\blueD{7a+3})+(\blueD{2a-1})}{\purpleC{a+2}}&&\small{\gray{\text{Toplayın}}}\\ \\ &=\dfrac{{7a+3}+{2a-1}}{{a+2}}&&\small{\gray{\text{Parantezleri kaldırın}}}\\ \\ &=\dfrac{9a+2}{a+2}&&\small{\gray{\text{Benzer terimleri birleştirin}}} \end{aligned}$

$\begin{aligned} &\phantom{=}\dfrac{\blueD{b+1}}{\purpleC{b^2}}-\dfrac{\blueD{4-b}}{\purpleC{b^2}}\\\\\\ &=\dfrac{(\blueD{b+1})-(\blueD{4-b})}{\purpleC{b^2}}&&\small{\gray{\text{Çıkarın}}}\\ \\ &=\dfrac{b+1-4+b}{{b^2}}&&\small{\gray{\text{Parantezleri kaldırın ve dağıtın}}}\\ \\ &=\dfrac{2b-3}{b^2}&&\small{\gray{\text{Benzer terimleri birleştirin}}} \end{aligned}$

$\begin{aligned} &\phantom{=}\dfrac{2}{\blueD3}+\dfrac{1}{\tealD2}\\\\\\ &=\dfrac{2}{\blueD3} \left(\tealD{\dfrac{2}{2}}\right)+\dfrac{1}{\tealD2}\left( \blueD{\dfrac{3}{3}}\right)&&\small{\gray{\text{Ortak paydalar yaratın}}}\\ \\ &=\dfrac{4}{6}+\dfrac{3}{6}\\ \\ &=\dfrac{7}{6} \end{aligned}$

$\dfrac{1}{\blueD{x-3}}+\dfrac{2}{\tealD{x+5}}$start fraction, 1, divided by, start color #11accd, x, minus, 3, end color #11accd, end fraction, plus, start fraction, 2, divided by, start color #01a995, x, plus, 5, end color #01a995, end fraction